I was an early adopter of (debit) card only, using it for everything in 1999. Your experience has never happened to me, as far as I recall. I don’t think I’ve ever had to go to an atm because the reader didn’t work.
Now days they can print you a new card in real time at the branch, but still I will never not have cash, and not have a backup card
I also NEVER use by debit card for anything other than ATM now, credit cards and pay it off every month... I dont even carry my debit card anymore, it is locked in the safe, and a bring it out when I need to get more cash.