That's just it, does IQ denote ability to rationally think? Can you be highly irrational and also have a high IQ, because if so then I'd argue that the 130 IQ person would struggle more than the 100 IQ person if the latter were better able to think rationally.

We might assume that IQ translates directly to ability to reason through a problem, but that may not be the case. An 8 lane highway is useless if you're riding a skateboard.