Here's something most people probably don't get about running a mint: it doesen't matter at all what actual sats or what lightning wallet is used to peg-in or peg-out tokens. You can run the mint with a lightning node for a time, then switch to a completely different scheme like connect it to an alby wallet, and the tokens will still cause the node to send sats either way. It doesen't matter which sats are used. Another option is to turn off the lightning node altogether and ask people to send the ecash to you (the mint operator) and you can send them back ecash from another mint, or you can pay their lnaddress or a lightning invoice.

When people are trusting a mint, they are trusting the mint operator. Either the mint operator is honest or he is not.