Ok. Boxing doesn't have one promotion that would qualify them like the UFC that holds 99% of the top mma fighters under one brand. And sure, some boxers sell fights with their mouths but nothing like the UFC that blatantly rips pro wrestling to sell fights. Also if boxing had any characters worth a fuck they may get a mention for best interview or charismatic? I don't know that it is against the rules.
Pretty much all fights or almost all are sold with their mouths. People generally want to see personalities and egos clash, not just an exciting fight.
Ali is the biggest boxing star in history and he admitted years after his retirement that he was only playing a character to sell tickets. And no matter how much of a great, great talent Ali was, only a fool would deny that his charisma and flamboyance isn't a big reason why he is so iconic. He's arguably the greatest/most entertaining trash talker of all time. (Fitting enough, he even admitted to being influenced by Gorgeous George as far as developing a persona and promoting himself went. And GG is widely recognized as the first true 'character' in pro wrestling and also one of the most influential.)
Mayweather does the same thing. Admits he plays a character and makes himself the villain so that people will buy his fights in the hopes of seeing him lose. He's an excellent example to compare with wrestling too, since his "persona" is clearly an exaggerated version of his real-life personality just like a lot of wrestlers' are.
Tyson Fury says a lot of things to stir up controversy and the manner in which he confronted Deontay Wilder over a week ago was very pro wrestling-like: