Re: selection of statements, the reports in Fukushima and Cherbobyl do the same. The point is to showcase the underlying issues with concrete examples and statements. Nothing wrong with that per-se. And in th LWTN segment, it was not done in bad faith, it is bot FOX news after all.
This is the danger in it.
They pick someone they don't like and basically do a hit piece. Now sometimes the target is actually bad and deserving of the criticism, and then if you try to get the real story, the real story is that the target is actually bad and deserving of the criticism.
But then they'll run a segment in the same style where the target is just someone from the outgroup of the show's target audience.
Just because comedy shows focus on entertainment value doesn't mean there's no evidence. They have a different focus from investigators or courts, but in democratic countries, the funds to run investigations come from politicians and public outcry, and that comes from the people actually giving a sh*t about it. So they do perform a function.