To cut back to the previous conversation, it would appear that the answer is: No, woo does NOT understand what it means to be a "spiritual successor".
Consider this, woo. Dark Souls is the spiritual successor to Demon's Souls. They're made by the same company, they use almost identical mechanics, the engine (as far as I know) is the same, and despite the successor using the same "currency" for purchases and character leveling, unlike the previous title, it has no logical reason for this. Maybe that's because they're the same thing? No. It was clarified from the beginning, before the game was even out, that Dark Souls was not a sequel, it was a spiritual successor. No amount of identical game mechanics changed this. What determined that it was no sequel was the COMPLETELY SEPARATE UNIVERSE it was set in. In Demon's Souls, there was a lore-based, canonical reason that Souls were the universal currency, used both to purchase items as well as level your character. Dark Souls? No, they never came up with a reason, they just kept it that way, rather than reinvent the wheel. They left that as it was for simplicity's sake; it was an aspect that players would be familiar with, so why bother changing it? But the setting wasn't the same, the plight wasn't the same, the lore wasn't the same. Dark Souls and Demon's Souls did NOT overlap in any respect relative to their narrative. They had a few cameo characters reference the previous title, but that's all they were, cameos. It was still not a tie-in declaring that the title was a sequel.
Fallout 2 was a sequel to Fallout not because it had the same name with a sequential number tacked on, but because it was set in the same universe, following in the footsteps of the same story. It was a continuation of the previous game, no a reboot, not a separate game utilizing the same assets but set in a different universe. It was the same universe, 80 years later. That's what made it a sequel.
Bioshock is another fine example of spiritual succession to System Shock (and more recently, Bioshock: Infinite to Bioshock, itself!) They kept part of the name in the title to act as a call-back to their predecessor game(s), but they were separate series. There was no direct connection to the game universe between the titles, despite being from the same developers. But they maintained the same theme and tone in storytelling, which is why they were spiritual successors. They didn't take a survival horror themed first person shooter role playing game and decide to make third person action game and say it was a spiritual successor. They made another first person shooter role playing game (albeit with toned-down role playing elements) with a strong survival horror theme. It played out very similar, so much so that some reviews like Yahtzee stated, "[Bioshock] isn't 'like' System Shock 2, it 'is' System Shock 2." But that made it a spiritual successor. It followed in the themes and tones of its predecessor, but it DID NOT carry on the story and was not set in the same universe.
Games are made as spiritual successors versus direct sequels for all sorts of different reasons. In Fallout's case it was legal, because they could not use the Wasteland IP at the time because it was held by EA, and in Bioshock's case it was artistic license, since they intended to tell another story, not bind their new ideas to an existing setting they'd worked in before. Yes, Tycho's description of his father's group sounded like the Desert Rangers of Wasteland, but that was a callback to the game, not a direct tie-in.
Your opinion doesn't have an impact of what is and isn't. Fallout isn't a sequel to Wasteland because you think it is. It just isn't.