Iron Man's stance made absolutely no sense.
There is absolutely an in-universe argument to be made that super-powered beings need to be held to some form of accountability, somehow. Wandavision actually does a fantastic job of showcasing exactly why that is.
That being said, the incidents that they used to exemplify why they needed bureaucracy was just completely off, especially citing NYC; Civil War conveniently forgets that the decision of the Security Council was to level New York with a nuclear weapon! Tony Stark legit had to save these idiots from themselves, and then a few years later he is siding with the very people he took a nuke into space for and derived PTSD as result of?
Heck, even by then, the governments of Earth, not counting Wakanda, showed that they were completely outmatched when these incidents arose, even with super-powered forces on their side. I would have loved to have seen how the Governments responded when Thanos ship's showed up in NYC - what, was Iron Man supposed to wait to get UN permission before he went and confronted those aliens? And how convenient, the moment they were confronted by another one of these incidents, Stark simply pretended he never even signed those fucking accords in the first place.