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That belief has been illustrated in technicolor over the past decade. Plenty of "famous" people on social media have very little to show for it. I'm not talking about the Logan Pauls or PewDiePies of this world - they're clearly outliers - but the average famous person on YouTube or Instagram (tens to hundreds of thousands of followers), might have a decent to great income but they're not "rich", where rich is defined as not dependent on any source of income[1]. Many of them are in fact enslaved to the need to constantly produce new content, which is fine if you enjoy it but perhaps not so much otherwise.

[1] My preferred definition is actually the ability to do what you want, when you want, and with whom you want, which is a little broader than simply money.