There is no universe where Musk takes over twitter and gets good PR.
You could also consider that Musk rushed into buying Twitter with a poorly written contract and he was legally forced to buy the company. He didn't end up there due to a well managed plan. He's there thanks to his impulsive and childish nature.
The reason Musk has PR problems is simple: he creates them. No other CEO at his level has such an unfiltered stream of consciousness going public without a filter, and few have his taste for pointless stunts. The stuff which hurt his reputation wasn’t things like dating rock stars or having children with women other than his wife (this is largely priced in to the reputation of very rich men) but stuff like very publicly calling someone a pedophile out of pique from being outdone. He could stop that at any time and pretty much every employee and shareholder of his companies would be grateful.
But why are people so obsessed with PR in the first place? Who cares? People are obsessed with drama. My view is there is too much of that, cut that crap out, it's irrelevant to your life.
Either Twitter as a product, is useful to you, or it's not, so either use it or don't. Twitter as a product did not change in the past week, if you never read any news headlines, you would be completely none the wiser and still happily using it if you were using it before.
There is too much real stuff to worry about to get caught up in the drama of this.