Fact checkers are a mixed blessing with a dose of opinion often thrown in. Almost any statement someone makes can be construed or skewed to be inaccurate. If an actual number is cited, chances are some fact checker will find something wrong with it. There is no safe space. It is accurate or they are deliberately lying and that is how it is often presented.
Last night I listened to President Trump and often he left the safety of the teleprompter to hand out juicy information. This is why people love the guy ... or hate his guts and claim he has now told 54,000 lies since he took office. God forbid someone followed me around and checked every fact I divulge. I love to talk and am a teacher by nature. Is everything I say absolutely correct? Not even close, because I speak from memory and frankly I am often inaccurate on the exact thing I explain. Never mind my intent.
The fact checkers very often attack people in politics or very rich people in the news because they have an agenda to discredit them. Taking that into consideration, what if someone followed you around with this intent. You would stop talking, guaranteed. I know I would. So understand the fact checked material may be skewing the very information they claim to uphold.