Reflecting on this, it seems to me if you've got your health (mostly), people who care for you, and people for whom you care, everything else is just "stuff." You ARE rich.
From a philosophy view. You are correct. Rich means different things to different people. Money does make business and finance to go around. From a poor mans view, rich can be considered, exactly what you have said.....i remember mother Teresa as giving millions of dollars away while dying as a pauper.....But without rich people to make money go around, we would not have schools, roads, electric power. Supermarkets, doctors dentists banks or heated homes. Or plumbing in them.