No, they prefer the disposibility of younger men and the ability to have that back door when it becomes awkward more often than not. Plus, that younger man isn't going to challenge her in any meaningful way emotionally.
The only exception to this is when she finds that the men her age find that she has too much mileage on her and look for younger models.
I would agree that the whole "spiritual qualities" thing is BS, but I think your analysis is also overly-complex. Women in their late thirties though late forties, and occasionally even older, are sexually insatiable and quite uninhibited, as are younger men.
Plus women in their late 30s and 40s are just getting their second wind, if you know what I mean.