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According to this Apple knowledgeable article, Apple Card participants get their own titanium Apple Card. However, in the same article, it does not say whether or not an Apple Card co-owner gets their own titanium Apple Card.
Do Apple Card co-owners get their own titanium Apple Card?
So ordering a card for participants is also ordering a card for a co-owner? They are clear these two entities are distinct in their article. This statement does not make it clear that a co-owner will receive their own card - only that a co-owner can order a card for a participant (which is not a co-owner).
@SwisherSweet You are correct that the quote picked out here doesn't answer your question - however you are reading into the difference between participants and co-owners a bit too much: they're the same except for financial liability on the card.
@SwisherSweet I suspect you won't find an actual answer for the reason I mentioned in my first comment: it's implied that somebody who's added as a spender on the card get's a card to spend with.