No, during a nut zap, it will swap to one of the user's trusted mint. But compared to a lightning zap, it only requires 3-4 steps instead of a complex 12-step process.
Discussion
Perhaps I'm misundertsanding, but if user A using mint a sends a nutzap to user B in mint b, there's essentially still a swap that happens over lightning. For user A to mint a token at mint b, they either have to already have sats there, or send them over LN.
2/2
I thought NIP-61 was mainly about user A being able to know in advance what mints user B prefers.