As far as I know, Monzo haven’t confirmed that names will be printed on the cards yet.
In the chats that I’ve had with the team, it’s sounded like they’re leaning towards not adding them, to decrease the time it takes to dispatch cards.
If they don’t, I don’t see any reason why they couldn’t carry on posting the cards from their office either…
Here’s the latest non-confirmation from Monzo 
although that update is a little bit overdue @Naji?