Let's just say that what looks pretty on one person looks dreadful on another.
Individuals are able to examine society very well, especially considered that most of society is far too busy to examine itself.
For the vast minority of men that wear nail polish, perhaps. The reason it is marketed to women is because men, in general, do not wear it and do not want to wear it. Marketing it towards them will not change that. Have you ever come across a 'targeted' advertisement for a product you wouldn't even dream of buying?
Yes, but actually no.
Examining biases is a good thing, but this does not let you off the hook. For people raised in a certain environment, they cannot tell why something contrary to their beliefs makes them uncomfortable. Asking them to examine this feeling will not make things any better.
Nobody ever does.
Going around challenging people's beliefs is not a good way to make friends of influence people. Many people are not reflective enough or intelligent enough to say why they dislike something. they just know that they dislike it. This does not make them bad people, but it does mean that you should show them some grace and back off.
You can't do either of those while it is wet.