"Oh, stewardess! I speak jive" would absolutely get you cancelled today. I don't think it's mean-spirited either but that's not enough to save you these days.
In Blindspotting (2018), a white protagonist is shown as being able to fluently speak an incomprehensibly dense version of AAVE, and it’s revealed later he has no idea what he’s saying (despite communicating effectively). I’ve never seen anyone criticize that joke.
The joke is how incongruous it is that she speaks their language despite being very white. It only works because you expect black people to speak like black people and white people to speak like white people.
When I watched it recently the joke that kinda flops is the heavily stereotyped gay man. Whether it is offensive I have no idea. Its not flattering.