I think it'll depend on the use case - I can see it being used by companies and they'll be known mints who use the tech to distribute awards and such, but there'll likely remain some private ones too. Mostly I suspect they'll be high throughput, similar to how some use Monero for obfuscation but not storage. Beyond that, I reckon there'll be communities big and small who know who controls the mint and trust them enough to use.