Yeah unfortunately they do ..
I haven't added my new card yet , but as soon as I do this time , I'm calling the bank before I start making transactions and telling them I I'm using the card to buy bitcoin to make sure they dont block any transactions.. Unfortunately , the if a bank blocks a purchase when your buying from coinbase , they(coin base) ban the specific card from purchasing again..
I think my new tactic is going to be get three separate cards attached to my coinbase , and switch up cards I'm purchasing with so its less likely a transfer gets stopped ...rather than making multiple purchases a week from 1 card... Plus the up sides is if I get a card banned I won't be left with my dick in my hand waiting on another card to show up ..