Many if not most of the wealthy residents who can afford the insane real estate prices also own multiple properties worldwide (London, NYC, Lugano, Singapore, etc.), and shuttle between them all year round, so they aren't even there permanently. Monaco is only a fiscal residence for many of them.
Beyond the surface-level glitz, e.g. the Formula 1 and the fancy cars parked in front of the Casino, what's interesting is that the little old unassuming lady in sweatpants walking her dog in the morning may actually be a multi-billionaire, and you wouldn't be able to tell. Lot of old money that likes to keep to itself, as opposed to nouveaux riches who like to flaunt.