Card numbers are there for a reason: transactions without presenting the card, which actually are not a big problem as there are strict rules to follow and if frauds do occur, card holders are backed by charge-back policies. I guess all your concerns should really go to magnetic strip cards as there is virtually no way to tell fake card from genuine cards and that's the reason of EMV/PBOC card migration which just as you said, put strong cryptography into the chips on cards. But again, you still need card numbers to support transactions without presenting the card.