Personally I don't see where you're getting the idea that Fallout 4 has any more choice than Skyrim does. You listed examples such as fetching that staff for the mage in Winterhold, and how you can't tell the Jarl he isn't a mage, but there's tons of quests like that in Fallout 4 too.
As an example, and this is probably the one that pissed me off the most, there's a big Institute quest called "Growing a Better Crop". In that quest, you're tasked with delivering seeds to a synth who is disguised as this family's father. Well when you deliver the seeds to him, you find out that apparently one of the farmhands has found out he's a synth, and has run away to Goodneighbor to help buy a sort of "militia" to take the father down. Well since I wasn't actually working with the Institute and I was a Railroad spy, I thought I might be able to convince the synth father to abandon the farm, come with me, and start a new life, thus making the farmhand happy, allowing the family to realize their real father is dead, and give the synth a chance to live his own life.
Instead, what it all boiled down to was, no matter what I said to the guy in Goodneighbor, the farmhand back on the farm holds the father at gunpoint. I can't tell the family that the father really is a synth or do anything with that, no, literally the only option I'm given is either shooting the farmhand or talking him down. There is no way to expose the father despite the fact I'm not actually working for the Institute, and it's completely railroaded.
There's tons of quests like that. I can give a lot more examples if you genuinely need more proof. Playing back through Skyrim recently I completely 100% agree with you that Skyrim has jack shit when it comes to choice in many, many missions, but don't you dare say Fallout 4 has far more choices when it's exactly the same. Neither have choice, at all, in over 50% of the missions.
It's funny actually, I noticed it a lot more when it came to Fallout 4. Maybe because I'd just come right off the heels of finishing New Vegas for the 4th time, but the lack of choice stood out to me hard in FO4. Skyrim's just as bad though, I'll give you that. In fact, Skyrim is worse when it comes to lack of choice in missions, but Fallout 4 is almost on the exact same level. You seem to be under the impression that there's miles of difference between the 2.
Also, I'm the one who brought up the lumberjack story. I never said that was a good RP experience, I was simply pointing to it as an example of the game giving you the tools to pretend to RP. Like I said in a previous post, both Skyrim and FO4 are shit at roleplaying, but Skyrim at least gives you the tools to pretend to RP, whereas Fallout 4 shoves you onto a railroad and never lets you off, with no way to pretend anything. I'd compare it to giving an artist a blank piece of paper and telling him to make a masterpiece, then giving him a single paintbrush and 3 colors to paint with. That's Skyrim. Fallout 4 is someone giving an artist a blank piece of paper, 1 color, and no paint brush, leaving him to paint with his fingers desperately until someone rips the piece of paper in half and throws it away.