I wasn't aware "many prominent people don't like fact-checking" was a statement that needed a citation. In any case, you're free to disagree with that. I don't really care enough to try to prove it to you.

According to a Pew Research poll "do fact checkers favor tend to favor one political side"

It's split down the middle

https://www.pewresearch.org/fact-tank/2019/06/27/republicans...

As to prominent people- What do you consider prominent, would most people agree with that, and do you have a poll of these people.

Saying most prominent people blah blah blah is debatable on two levels

Your own link says that nearly half of all Americans and 70% of Republicans think fact-checking is biased. That's the attitude I was referencing when I said that fact-checking is "widely heckled". If half of an audience boos you, that's a lot of booing.

I have no idea what you're arguing. Your own link says what I said.