If I'm very rich, maybe I'd play with a little money, not to get more rich, but just to have some fun in real casinos.
But nope, not on the internet sites and surely won't be greedy at the time I play

Yeah, definitely. Gambling is entirely for the fun of it. If you are rich, you should be aiming to get fun out of your money instead of being greedy and trying to get more profit every day. That's exactly why gambling is addictive. It offers you a quick and easy way to get more money.
But most gamblers fail. Either because they are greedy and go all in because "their gut told them to", or because they gamble too much and the house edge has caught up with them. Either way, gambling should not be a part of your routine, especially if you have more to lose as a rich person.