Handsome eligible men are going for 25 year olds who look hot and have no kids, because they can.
This is a cliche, which I know to be untrue from RL.
You need to consider the age of the man. Men who are over 35/40 etc are usually separated or divorced with at least one child
Many of them absolutelydo not want to have more kids and they know the vast majority younger women (unless they already have them) will want kids.
I know a handsome, well groomed, home owning architect with a teenage daughter who chose (and had since married) a single Mum in her 30s with a 11/12 yr old DD. He had plenty of other options too
I know a silver fox handsome, well off, business owner divorce with teenage sons who chose a single Mum around his age (50s) with one late teen/early twenties DD, and they've since married.
It's a cliche.
It depends on the age & circumstances of the eligible man.
Also, I terms of low wage, old research shows that most men do not particularly rate women's earning power and that a woman having higher than a bachelor degree education actually works against them on old.
They probably don't want someone in debt etc but they are not as focused as women in earning ability, assets, status etc.