It's all relative. Nobody stops for roadside accidents in PNG or South Africa, you speed up. "Rich" is contextual.
Old money tends to swim in deeper waters. Big money pays not to worry. Just rich? Sure. You need to worry, that bling is an invitation. There are reasons people chose not to flaunt it, taste aside.
I'm not rich. I've known, know rich people. They are nice, if different (shipping magnate fortune, nowadays mostly dotcom boom or FAANG wealthy)
There's a Getty kid (now dead) who had an ear partially missing. This isn't a new story. He was insufficiently careful, and his backup plan was late to the party. 1973
Some very rich folk I know are discreet with their wealth. If they were show-offs they'd need lots of security, but nobody knows them so nobody tries to take their things or hurt them.
Rich does not necessarily = 'famous' or 'ostentatious'. my sister looks like she couldn't rub two cents together. She could probably buy and sell me ten times over.