You said cashu is custodial because of mints.
I said if you own/run the mint , you are still in custody.
Now you are saying sending tokens to other mints makes it custodial again.
At some point in an exchange, money/value/tokens, is in someone else's custody...that's kind of the point of a transaction.
What i think you mean is, when you send the token to someone else, it will be on a mint owned by a third party.
If so, you have misunderstood Cashu. A token is not sent, it is announced and then redeemed. If the user you share the token with redeems it using a mint they own, everything is in the custody of the intended persons, throughout.