we shouldn’t bother with fact-checking because the only thing you need to go on is your gut feeling
No, I’m saying you should do your own research, collecting information from a variety of sources. That’s the only way to get the full picture, because any particular news org or “fact checking” source isn’t going to give you that.
Besides, fact-checkers have a reputation to uphold.
As do the people they’re “fact-checking” but it doesn’t stop those people from publishing lies or misleading their audience.