> Just have the chip have an entirely different account number that only works for EMV transactions.
Issuers can certainly do that, and some do (e.g. Apple Card).
Some use cases don't handle that very well, though, e.g. booking a hotel online and then presenting the physical chip card for verification, comparing the last four digits printed on the card with those printed on the receipt for a refund, and others.
But there is already something that is different across all interfaces (chip, magnetic stripe, human-readable printed card number): The CVC. Practically, this makes "cross-channel skimming" pretty hard.
Issuers can certainly do that, and some do (e.g. Apple Card).
Some use cases don't handle that very well, though, e.g. booking a hotel online and then presenting the physical chip card for verification, comparing the last four digits printed on the card with those printed on the receipt for a refund, and others.
But there is already something that is different across all interfaces (chip, magnetic stripe, human-readable printed card number): The CVC. Practically, this makes "cross-channel skimming" pretty hard.