Sure, but being an arrogant prick that thinks they're smarter than anyone else, regardless of gender, is already a thing that should be derided. Having only a single or few instances of this behavior being aimed at women as an example of his arrogance may mistakenly lead one to attribute that to misogyny instead of a general prickishness behavior, sure. But that's a perfectly understandable assumption to make in that situation and the mistake of calling them the wrong kind of asshole, I feel, is less of a concern than him, indeed, being an asshole.