Do you believe in gender-based phobia?

OK,most of us know that most women are afraid of lizard,cockroach,etc but most men don’t,and that is the example of gender-based phobia. I don’t believe in that,what I believe is that it depends on how one is taught during his/her early ages but this is weird if you see the fact that most women share the same phobia,Is it possible that most women and men learn and transfer their gender-specific phobia simultaneously during their early development? Probably.

Note: I know that the word “Phobia” is a far too deep to explain such ‘fear’ but I use this since I don’t find other more appropriate word.