No, you've decided there's "enough evidence". There's similar evidence that TOS isn't all the same universe. It doesn't make it so.
You believe what you want and I believe what I want. That's essentially the point. For you it works. For me not by a long shot.
The real reason many deliberately ignore the film's failings is because they desperately want the stamp of legitimacy. I'm not willing to concede it no matter what may or my not have been intended. I'll go by what they put on the screen because that's what matters.