“all the action in mens section – women just spectators from ezras nashim”
Yes the men are able to draw down hamshachos that women d as well, and that’s why they’re the main players in the shul. Afaik, this is to atone for the meraglim who gathered as a congregation for bad. So now they need to gather as a congregation for good to bring down higher levels of Elokus to the world to make up for the lack they created. Similar to woman being granted the mitzvah of challa to make up for Chavas sin.
We weren’t part of the meraglim fiasco so we don’t need Minyan. But we also don’t draw down the same hamshachos men do consequently.
Anyhow yes I wouldn’t invite a not yet frum woman to meet me in shUl because we’re not the main players there. Id invite her to a Shabbos or yt meal in my home, where I’m the main player. Ishto zu baiso.