An alternative POV:
You mention he comes from wealth. You have sex, but not intercourse. Have you considered he avoids intercourse b/c he doesn't want to risk a pregnancy with you? Some women try to snag rich husbands (or at least child support) this way.
Regarding his family, right or wrong, wealthy families tend to look for 'equals' as spouses for their children (whatever that means to them). This is not a reflection about you, btw, just an explanation for how some people think. This may be another reason for his avoiding an introduction.
Second thoughts can generally be amended with judicious action; injudicious actions can seldom be recovered with second thoughts.
--Cyteen by C.J.Cherryh