No, the credit card companies love it. Their official stance is that there is no minimum; merchants are supposed allow customers to charge any amount. Small purchases are a huge part of their business these days, with even McDonald's accepting credit cards.

It's the merchants who hate it. They get charged something like $0.55 per transaction, no matter the amount, so if you charge a $0.66 purchase, that takes a big bite out of their profit. They may even lose money on the transaction.