I've been curious about this questionthis question. The claims it quotes were made by persons during the course of political speech-making, and intended to illicit responses from those gathered to listen. In other words, the claims are mere hyperbole.
Taken to the extreme, if a famous baker speaks at a pro-Chocolate Cake rally, and says "People who don't like Chocolate Cake must be evil!" does that make it a "notable claim" for purposes of this site.
Don't get me wrong, I like the question and the answers it has generated. It just struck me as unusual.