I haven't seen anyone mentioning what happens in a cashless society if your card is broken/lost. I've lost my card, went to a bank, showed my passport, got eno

I haven't seen anyone mentioning what happens in a cashless society if your card is broken/lost. I've lost my card, went to a bank, showed my passport, got enough cash for a couple of weeks and got card replacement in a few days. What would happen if the society was cashless? Would I get a new card immediately?