A universal quantifier is absolute. Actually, it's a pedantic point.
The better point for tm to claim is most chaste women are moral, whereas the same cannot be said for unchaste women. So, to guarantee a better chance of developing a relationship with a moral woman (i.e. more likely to not commit adultery and be temperate), we men should be chaste and look for chaste women.
This is probably what he intended anyways, since it makes more sense.
I don't think you've read the rest of his comments. He absolutely meant what he said, and he meant "pretty much universally" as a universal. Sad, I know.
The better point for tm to claim is most chaste women are moral, whereas the same cannot be said for unchaste women. So, to guarantee a better chance of developing a relationship with a moral woman (i.e. more likely to not commit adultery and be temperate), we men should be chaste and look for chaste women.
This is probably what he intended anyways, since it makes more sense.