You're ultimately correct, but the YT Fair Use Guidelines don't seem to be directly at odds -- unless Apple is arguing that the laughter hurts the copyrighted works profitability?
While it's true, it's also missing enough detail to be wrong. There are laws governing content use on websites and Youtube is obeying the safe harbor provision with hasty response to take down requests. So the reason they take your video down here is "compliance with the law".
Nothing is automatically fair use. At the end of the day only a judge can decide if something is fair use or not.