Circa 2000CE: I was in college, living in the dorms. The person working in the mail-room at the dorms was somewhat unmotivated, leading to mail often ending up in the wrong mailbox. Sunday night, someone gives me a Citi card bill that is due on Tuesday. Monday morning, I call customer service and let them know the situation. I will mail them a check before the due date, and I would like to get a grace period on the late-fee and interest. CS rep informs me that they cannot do that, but can do an electronic funds transfer from my checking account for a $10 fee. I was rather astonished at this, and told them to do the EFT and cancel my account.
I should note that Discover (my other credit card at the time) and my next major credit card (95% certain it was Chase) both encountered similar situations and handled it reasonably.