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.
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.
I'm not saying anything about the fact-checking itself. I'm not on Twitter or Facebook. I haven't seen any fact-check posts. I'm sure they try their best to be accurate. I prefer to get my information about the most hoax-prone topics from authoritative sources - primary sources, news agencies, newspapers of record - the more boring, the better.