You can't evaluate the truth of a statement by its position in a signaling game; otherwise you could use human psychology to figure out if global warming is real!

Agree to some extent but not fully. In particular, I think that the fact the well documented phenomenon of illusory superiority gives rational grounds for skepticism when somebody claims that his or her abilities are greater than he or she able to effectively signal. In situations where there's great disparity between claimed ability and signaled ability, very high levels of skepticism are warranted.