My favorite implementation of a prestige mechanic is actually Ctrl/Cmd-C's completion token system, simple and boring as it may be.
This system gradually makes you build up a multiplier which increases polynomially over the course of your playthrough. It can get big enough to break the game's intended pacing, but you build it up slowly enough that you can see it slowly crumbling. In other games, behavior around prestiging is tightly controlled (this can be seen in the game's chapters). That's still the case here even with absurdly large multipliers but the feeling that you are supposed to do this is less present.
It's a power fantasy in which you feel you are defying the developer's intentions for how the game should be played. Eventually you quit because you have so much power that getting more requires giving the game constant attention (and by that point, a multiplier of 2x doesn't feel like anything anymore).