That's one of the odd things. I never sent them a dime. Somehow in the process of clearing the charge/fees from the account it ended up $0.5 in my favor. I've told them where to put that .5 a few times...
Somehow I think that owuld backfire. You would likely end up with a 10cent activation charge or something. It would likely be random so as to ensure the card would still have some balance or credit on it
Yes, I used to have a Sears card, many moons ago. At some point they changed it to a Sears MasterCard (as I recall) without my knowledge. For a while I would get envelopes saying "Sears MasterCard" and I figured they were offers for a card I didn't want, not bills for a card I didn't know I had, so I threw them out unopened. Eventually I got a call about the missed payments and I explained that I had no such card. After they explained that my Sears card had been converted to a Sears MasterCard I asked them to remove the late fees, they did, I paid off the unwanted card and closed the account.
Just be satisfied knowing it costs them 40 cents or so with each mailing. You will eventually get a check for the 50 cents. I had a Wells Fargo account like this. There was some class action suit that resulted in us lucky card holders getting 37 cents for some injustice (I'm sure the lawyers got 37 million). After months of ZOMG U HAZ CREDITZ they finally gave up and sent a check.