I used to work at an Internet provider that offers a discounted auto pay program.

No, at least not there.

Every once in a while we'd get complaints that a card wasn't working and it was because they were trying to use a gift card, and the system recognized gift cards and declined them immediately. Needed to be a credit or debit card with your name on it. Or at least someone's name on it. Who payed didn't matter, but a real person would be billed every month.