Yes, but why are women more conservative than men?  That they play a strong role in propagating gender roles is simply evidence -- not an explanation -- for this.

However, it does suggest one possibility:  If socialisation of children happens through the mother more than through the father, then both boys and girls are taught gender roles by what their mother tells them.  However, in addition to that, girls have on a day to day basis an up-close example/role model of how to be "women", while boys learn how to be "men" mainly through what their mother tells them, and not as much as daughters by what they pick up from the example of their father, who in this scenario would be presumably less present than the mother.  In other words, the close up example of the mother reinforces and fleshes out the female gender role taught by the mother to daughters; but this reinforcement/fleshing out of the male gender roles is much weaker in sons whose father is less involved in their socialisation than the mother.

Truth unfolds in time through a communal process.