It's a great question isn't it (and one I don't remember C.S. Lewis posing!) but I guess the 'kind of society' would be a ruling class one, whereas I doubt whether the same freedoms and female agency would be envisaged or countenanced for the rest of society. While the female in what Lewis saw as the 'allegory of love' was attributed with powerful choice and discretion, I tend to see the elevated role of the woman in these traditions as operating a kind of chivalrous choreography, affording exercise of knightly qualities and an iconic object of knightly desire that doesn't quite sit comfortably with me (though I admit I love the concept of gentilesse).
If you're into stuff like this, you can read the full review.