Men in studies have had inflated ideas of their own attractiveness (compared to how owmen rated them) and overestimated their performance on tests of knowledge and skill, whereas women were more realistic, so I’d say men are prouder. Of course, the difference fades when older subjects are used,a nd most studies involve young subjects, so it’s hard to generalize. The first genereation in which girls had as much self-esteem as boys by self-description was the one in elementary-middle-high school in the late 1990’s, and that generation is still young now, maybe 15-25, and that’s only in the USA. Worldwide, many women know their parents considered killing or selling them as small girls because they weren’t boys.
Men may think of women as 'proud" because women go to great lengths to gain male approval and then avoid some men. That’s a misunderstanding. We try to get male approval because everyone has a deep need for approval from both sexes. We avoid men who are unpleasant or who frighten us or who take but never give, because we are trying to protect ourselves from harm and have good lives, like all living creatures do.