Precisely. The flexibility would be helpful irrespective of gender. It says a lot about our culture (or lack thereof) that we even have this issue to start with.
When people followed the gender roles of "women stay home and raise children; men leave their kids behind and go to work", neither gender had much overlap between employment and child care.
Societal acceptance of men as performing child care lags behind societal acceptance of women as performing paid employment, so it's inevitable that the issues inherent in combining child care and paid employment have hit women first. It's important to raise awareness that this is an issue which affects both genders, but I wouldn't ascribe any malice to the fact that it first gained attention as an issue affecting women.