And since you have a card for each account, they can wipe out your savings too, making it harder to replenish your checking account.
You'll most likley get the money back, eventually.
I carry only an ATM card (PIN required), no debit card that debits directly from my bank account.
(note that this isn't just a hypothetical vulnerability, my company had to give a paycheck advance to an intern who lost her debit card in a bar, had her account wiped out and couldn't get money back from her bank in time to make rent)