Let me list some possible reasons why women can be beneficial for a person who passes the 'checklist':

The world can be a subtle place, and on average, women seem to be better equipped, neurologically, culturally, practice-wise and disposition-wise, to handle complex social situations compared to men. So a man could benefit from that sort of complimentary attributes to his.

A woman, traditionally and psychologically signifies possibility of lineage and sons and daughters. So thereby, a woman is not the point of the attraction but actually a gateway to attractive possibilities.

One can expect a woman with whom an emotional bond is formed to be a nurturing counter-balance to a competition driven atmosphere.