Of course they're shamed as long as people who demand gender role adherence exist. Even if these conservatives were a small minority it would still technically be true that incompletely traditional men would be shamed. Shamed by them.

It is still true that any man that tries to meet their demands is more likely to commit suicide than s man eho rejects their demands and ignores them.

I'm sure you're not wrong in arguing there's no non-traditional gender role men can fulfill that is clearly defined and understood like the traditional one is. But that's part of the rejection. You reject the role, you keep living, if necessary you leave the people who make your life insufferable. Or you just stay, while shutting them out or reducing contact. Often that means not being welcoming to cruel family members, and often it means not listening to your mother and father most of the time.