Both are true and both need to be fixed. Yes, men are often pressured to be the breadwinner of the family. That is a problem too, and it should be less stigmatized for the women to be an equal breadwinner.
The fact is, huge amounts of "gendered culture" have swapped genders over the centuries.
For example, everything you learned from a book, or from spoken language is not part of your innate biology. Only a part of how you gravitate toward that material may be biologically gendered.
I believe that men are affected by a great number of factors including their biologies, and struggle to understand why anyone would believe otherwise.