Never said the rich man was lesser. That depends on the guy.
Some rich men are lesser genetically if they are ugly, short, fat, etc. Woman want to mate with good genetics as much as men do. But its often hard to get good genetics and commitment at the same time. After a certain age a lot of women focus more on commitment because their declining market VALUE makes a man with good genetics unlikely to be loyal.
So explain this to me then. I'm a man - when you judge me by my outward appearance - looks like he has both great resources and great genetics. I dress extremely extremely nice - about as nice as any straight man you will ever find, drive a $70,000 car plus I have all the traditional symbols of strong genetics - great complexion, a strong muscular build, great facial hair in terms of coverage, heavily masculine facial features with enough "pretty boy features" to where i don't look like a caveman.
Why do I not have tons of attractive late 20s women who want to settle down showing natural interest in me??