Here is the thing. You can have private opinions but when you express them publicly, the larger the audience the larger the chance that someone can totally misinterpret / take out of context / take IN context but write a diatribe against / etc. what you say.
It could be someone who is outraged or someone who actually uses your words to further their ideological agenda against those who are outraged.
In short, the more people see what you say, the more chances that it can run away from under you and distract from your brand and its focus.
That is why Coke executives don't just tweet their personal views on topics, etc. and why politicians stay on message.
Anything you say publicly can and may be used against YOUR GOALS. And maybe against your character.
"Give me six lines written by the most honest man, and I will find something there to hang him.
As quoted in Champlain's Dream (2008) by David Hackett Fischer"
And with AI you can probably quote mine anyone like Richelou.
Sometimes, like Trump, the controversy helps attract media attention and you can find a core audience who flocks to you. Then you become a polarizing figure. If that's your way of getting famous, then the price you pay is people quote mining what you say later and you having to filter out people who are constantly lining up to debate you and take you down.
Trump has been able to sidestep the parsing of his words by not standing for anything and being so willing to change with the wind and just say so much random stuff, while at the same time saying what enough people want to hear that he totally polarized the country.