That reply completely misunderstands the quote. It is about how people with integrity, who are willing and able to put out effort and endure difficulties to build a better future, do usually manage to make things better than those who do not.

It’s essentially a truism warning people that problems you ignore don’t fix themselves, and has nothing to do with gender or gender stereotypes, that’s a linguistic misunderstanding. In this context, “men” is gender neutral and means “people.” In old english, the word “men” is explicitly gender neutral and there was a different word, “wēr” for male people, which is still used in some contexts, e.g. “werewolf” means wolf man.