Hmm, id guess long term utxo set size doesn't depend on whether emissions continue, but mostly just on number of users and their usage patterns.

I guess you're right in 1 specific scenario, which is already interesting: imagine nobody uses bitcoin at all and we just mine empty blocks. Then it's clearly true.

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Good point, hadn't considered finite population of users. Darn, i really liked having this (admittedly theory-only) leg up on the emission people