The nature of these posts is that by default the 4 posts are filled by reps from the 4 largest parties in the EP.

So there’s a conservative, a. Social democrat, a liberal etc.

You'd think women would have a higher chance to solve those issues women face that you mention, if only because they actually suffer them.

Also you can't say for sure the world wouldn't be a better place if it were ran by women, we never tried ;)