It wasn't just his stance on Schism that put me off the character by then. It was everything that led up to it before as well. I think it's interesting that even in-universe, characters reflect on how unlikable Scott has become. In The Rise and Fall of the Shi'ar Empire, Lorna and Alex reflect on how they miss Jean and how they liked Scott a lot more when she was alive as well. This was the first contemporary X-Men comic I started to read when I got into the X-Men so this has always stuck with me, even though at that point I had little familiarity with why Scott had become so unlikable in the years before. I've spoken a lot more about this in the Jean thread, but the way Scott doggedly pursued Wanda, refused to give her a chance to help out or even listen to her and was only determined to "burn the witch where she stands" was incredibly off-putting. He wasn't interested in helping mutantkind then, he only wanted vengeance. Which is fine for a character like Wolverine but if you're the moral leader of the X-Men and have appointed yourself the head of all mutantkind, you need to hold yourself to a higher standard. I'm still of the belief that Scott wanted Wanda dead because he feared that if she could actually reverse M-Day, he would lose all the emergency powers he had cultivated from taking advantage of the fact that this dying species had grouped around him. That narrative would completely change if Wanda restored mutantkind and he would no longer be the mutant leader or savior.
Uncanny X-Force also did a good job of recontextualizing Logan's actions. That entire chain of events started because X-Force allowed a child to die (kid Apocalypse) and everyone who was part of the team regretted that decision by the end. It should be noted that even when kid Apocalypse was killed, by that point Logan and all the others had already changed their initial minds and refused to kill him. They all wanted to rehabilitate him before Fantomex put a bullet in his head.
The way I saw it, Wolverine's stance was teaching the kids how to use their powers so they could become productive members of society and reintegrate with the public. If some of them grew up and decided they wanted to be X-Men, that was fine too but it wasn't compulsory nor was that the purpose of the school. The school was designed to help these kids control their abilities so they wouldn't be a danger to themselves or others, not to train them to be child soldiers. They weren't being trained to be X-Men. They weren't being sent out on missions to do with the adults did. But as mutants, their very existence meant they were always likely to be put in harm's way so they needed to learn how to defend themselves. This was very similar to what Xavier envisioned for the New Mutants. That team was created with the idea that these kids wouldn't be X-Men but would only learn to control their powers. They weren't supposed to go out on missions and encounter danger, but of course danger always found them. And we see that even when Magneto is headmaster, he's actively grounding them or keeping them confined to the mansion to keep them out of danger. The New Mutants were the ones sneaking out on missions as the junior X-Men and their actions got Cypher killed despite Magneto's best attempts to prevent exactly something like that happening.