What you are saying makes no sense. Rabbi Akiva is discussing attitudes, not people. He is not saying that women are light headed, he is saying that 'light-headedness brings a person to immorality. That's what his statement says. How you can't see why that connects to the other passage about separating of genders in the Temple because of light-headedness is beyond me.
You seem to have difficulty actually keeping track of what I have posted as it was I who asked
you what "light-headedness" meant to
you (post #23), and then I followed up with that basic question again in my post #26.
It literally makes no sense that gender distraction would be the only distraction at shul. I've been to a fair number of orthodox services here and in Israel, so don't give me that this is somehow the sole cause because I've seen probably most congregants being distracted at one time or another while davening, including myself.
All you have done is to make an unsubstantiated claim based on your supposed certainty whereas we simply cannot know with any certainty how it all stated. I proposed that it I believe it was
likely due to how the genders were viewed thousands of years ago, which is an
opinion based on an analysis of what we do know, but you come back as if you somehow know with certainty that I must be wrong. Sorry, but this is an area whereas certainty ain't as easy as you're trying to portray it to be.