They need not decide the premise is false; they can rely on scientific consensus. It's not a perfect heuristic but it's the most useful one we have. If they're transparent about the sources they use and they're impartial and consistent in their application (read: no videos given special treatment), they're not arbitrating. They're (actively) reporting.
It sure is! Tell you what, I'm all on board for a massive awareness campaign by Google, Amazon, Apple, Facebook and Netflix on the dangers of sugar intake as well.
