The difference is that gold-diggers don't want to sleep with rich men just so they can bask in the glow of their richness. They want to sleep with rich men in the hopes that they'll buy them fancy things, or at least fancy experiences. They want to enrich themselves at the expense of the rich man, whereas the man chasing beautiful women isn't hoping to make himself more beautiful and them less so.
This is also the difference between gold-diggers and normal women: gold-diggers are conscious of the fact that they're trying to score with rich men.