There is a difference between blaming society and dealing with thousands of years of social pressure. Social pressure doesn't mean listening to what TV and Movies say you should do. It's dealing with input from your parents, your family, your friends, and your peers.
Dismissing the anecdotal evidence of the women on your team, you have no idea of the differences in environmental stimuli women experience vs men.
GENERALLY speaking, and no, it's not universal, but on average, women are much less aggressive and assertive in situations where there is risk to social standing or cohesion. And it's not just their self-perception, others (including other women!!) perceive women as negatively for acting in ways that is rewarded in men.
I'm sure you've never done it yourself, but the fact is it exists, and it will not go away if we pretend that there is no bias, there is no further progress to be made.
Similar to how claiming we live in a post-racism society promotes racism.