We don't know the total trog population. We know they eat humans, and not other trogs. Naturally that would mean that trogs will keep coming toward human habitats. Any that the LW killed are likely replaced now that they have free reign of the area. The numbers the LW encountered were those there when the slavers were keeping them at bay (more than we ever saw). We also don't know if more would just keep coming, increasing their density in the area. Presumably, places actively cleared have less than those next to them, which have less than those next to them.
Trogs don't reproduce, they are created by the radiation sickness. Most (if not all) of the trogs got decimated when the BoS made what is known as "the Scourge", that happened 22 years before the Lone Wanderer reaches the Pitt. Since it is stated ingame that it takes years for a person to become a trog and that most people die instead of becoming trogs (75%-80% of adult people infected by TDC die instead of turning into trogs and only adults become trogs). We can safely assume that the trog population is not that high. Specially since guards and steelyard "workers" are implied to kill some from time to time.
What I just wrote is assumptions substanciated by what information the game provide us. But we can also see those results ingame.
I just played The Pitt picking Werhner side to refresh my memory and to make sure I don't spread misinformation. We can go back to the area where the light terminal is, I only encountered 4 trogs this time, while the first time I encountered waves of them. Those 4 were probably some I didn't kill the first time, since i rushed to the terminal. We can go back to the terminal without any problems.
We can speculate that it's possible to clear them out, but for all we know the lights, grid, etc needed regular repairs to work. For all we know the fighting damaged things. If the principle is the same as with wild animals in the real world, then it's effect is entirely moot once they're in the area that you want to keep them out of. It's more of a barrier than an actual repellent. It spooks, not hurts.
But we do know the state of things in Uptown. The game doesn't block access to it at all after you beat the DLC.
I just did so and there was 5 or 6 trogs there. Nothing I couldn't deal with by myself. The lights and fences show no sign of damage at all, nothing in the infrastructure changes. Not only that, but Haven still has it's lights on, and no trogs were near it:
This enforces what I said, there is nothing preventing us from just go there and wipe the trogs out and lock the fence gate that the trogs first come from. Then we just stroll to the terminal and turn the lights on. If the lights or fences needed repair for whatever reason, we have an entire work force to fix those things for us. Nothing would be stopping it.
Less than you think. Read carefully please. It doesn't indicate that either is managing to stop all violence. They might be, they might not be. It only indicates that both had/have something to stop from happening. Their success level is not really indicated. The rest is speculation without support. Not much to say about that.
It says "I don't know how Ashur's managed to stop people from wanting to kill each other". If people don't want to kill each other, then they wouldn't be killing each other... I don't see how you can think that under Ashur was as bad as under Werhner when those words leave nothing to imagination...
Ashur = People don't want to kill each other = Order.
Werhner = People want to kill each other = Chaos.
Him calling them workers is propaganda. It's coded language. Labels don't define people. Werhner also says they're freed. It's contradictory, but the fact that freed slave is an oxymoron doesn't stop people from using it. And Werhner may just be acknowledging that they have been slaves. It's not like more than five minutes have passed since they were 'freed' before he says it, or that anyone's going to jump in and say 'well actually we're free people because we're not enslaved anymore.'
I'm sorry, I honestly can't help but laugh here. It's fine if you want to believe him, but his propaganda is not prophesy. Even if he recorded saying as much to his daughter in those holo-whatevers that would just mean that he wanted her to believe it too. That isn't to say he couldn't be sincere, but Fallout generally doesn't reward innocence.
And I can't help laugh too. It is not propaganda. Ashur does want to free the slave and help The Pitt become a free citizenship place. If you don't believe his own words when he explains in great detail his plans, and you don't believe what he says in his diary for his daughter. Then read the writer's notes at the end of this post.
But how would you not believe his words for his daughter but you believe a untrustworthy bastard like Werhner?
To refresh the memory about what he say to his daughter in those diaries you mentioned:
He says he saw the Pitt with it's working steel mill the perfect opportunity to rebuilt civilization in a "world of leftovers" is not proud of using slaves, how forced labor is only a temporary measure and how her (Marie) will be considered a hero by the time she is 10 years old, because she would have been the cause for the cure that will help the entire city? Why would he lie to his own daughter in his own diary that is locked in a safe and that is the only container in the entire room that is considered "owned", you can freely take anything else from that room, including the stuff from a dresser and a desk.
If you still can't see how Ashur is really honest about his plans, then the head-cannon is too strong and I can't sway you with any of this information then try the writer's notes at the end of this post.
I said it before, and I'll say it again. he's definitely a power hungry asshole. This doesn't indicate that the slaves aren't free, or that he never intended to free them. He definitely doesn't give two shits about that baby. Their living conditions certainly didn't change dramatically overnight, though that was never in the cards.
There is a poor guy that is rolling on the floor saying how he is very sick, and the game gives an option to try to heal him (if we have enough medicine skill, which I didn't in this character) or the option to leave him be or to end his misery. I came back a couple days after "liberating" The Pitt and he is still there suffering. All the "workers" still complain about how much they are forced to work, how they just want to rest, how they can't talk and have to work, etc.
Not only that, but even Milly, a slave that was friendly towards me (because I found out what had happened to Wild Bill) before I beat the DLC, now just tells me aggressively to "Go Away!" instead of being friendly again.
This is all in the game and showing it right in our face, the slaves are forced to work the same under Ashur or Werhner, slaves that were friendly to you are aggressive now, no slave thanks you or is happy in any way, no slave mentions being free or working on their own free will, etc. The slave that is sick in the middle of the ground is still rolling on the ground suffering... Nothing changes.
On another note "Suggesting that he was going to betray the player" doesn't mean that he was planning to. Writers sometimes want their audience to consider things that aren't actually true. Also something I never expected to explain, but I guess that's a writer's affliction.
Reaching at straws now? How about how the writer notes in this case "Now that Ashur's gone, there's gonna be some changes around here, believe me.
{Pleased with himself, a little ominous}"?
There is nothing to be interpreted by the word ominous, it means "with evil intent". Or the so many notes of "Untrustworthy" or how he lies about Ashur's plans (which the game shows are true).
We already take a look on Werhner's notes that the writer provided. So why not take a look at Ashur's writer's notes too:
Ever since the city was scourged, we've done what everyone does: whatever's necessary to survive. {A little sad - he's not proud of the part he played in scourging the city all those years ago.}
I know my city seems barbaric to you, but it's the only way we can carve out a home in this hellhole, and it's kept these people alive. {Unapologetic for his city, and proud of his people's perseverance.}
It's taken me a lot of work to rebuild this city. With your help, it's finally going to have a chance. {A little melancholy about the scourge - still feels responsible for the tragedy that befell the city back then.}
I wish I could, but you have to see things in the bigger picture. Without those workers, this city would fall apart. {Not happy that he has to keep people in forced labor}
Right now, nothing. Until we can reproduce a treatment from Marie, they'll have to keep working. Otherwise, this city falls apart. {Not happy that he has to keep people in forced labor}
While the rest of the world scrambles to survive, we have an army, industry, and thanks to a recent surprise, we've got no need to fear radiation. {Proud of his city and its bright prospects}
If you still want me to believe that the writer wanted to make Werhner the one to free the slaves and Ashur a liar that just want to keep using slaves to work on his city... Well, I can't imagine how you would still think that.