I don't get how those two things are related. Besides people were hating on Musks public speaking skills before that whole debacle.

No one was hating on Musk's public speaking skills before that. People were saying he is hard to follow but that's different.

Besides that, yes not having planned speeches and speaking your mind unfiltered are traits that I would absolutely expect to see in the same person. They are different expressions of the same thinking process. I'm sure a lot of us have read that Thailand is were pedos go etc. But most people would have the restrain to not call someone attacking them a pedo.

What? That is totally false. Musk has been criticized for his bad public speaking for years. Here is an example: https://smallbusiness.com/selling/elon-musk-in-an-awful-pres...

Musk tweeting some guy is a pedo has NOTHING to do with his public speaking skills. It wasn't in a public speaking setting.

I agree with you, they're orthogonal. Looks like you were downvoted because people mixed up his character from the way he presents. I quite like his presentation style, it is genuine and unscripted.