I completely agree with you. However, there is a huge difference between genuine morality and this ridiculous ascribed morality of "a real man must … blablabla" - precisely the women who call for a real man, invite the wolf to the hen house. A real man is responsible, fair and lets others make choices without the need to control, but that requires confidence, trust and good will. Trying to force others what to do because of some kind of 'tradition' undermines the necessary trust.
Sadly there are many backward people who think "man must pay because he is man" and "woman must do housework because she is woman" - the inbreeding of false values.