Should I be allowed to sign up for the one year term, and then cancel my credit card after a couple months? Yes, you should. Because it's not the credit card

Should I be allowed to sign up for the one year term, and then cancel my credit card after a couple months? Yes, you should. Because it's not the credit card companies responsibility to worry about what outstanding contracts you may or may not still have ongoing. It would be up to the merchant to pursue legal action if your attempt to defraud the contract was substantial enough for them to care. If this was an ongoing problem for them, they would have to debate if their "deal" is really valued by their consumers and worth continuing to offer. But, it's not Visa's problem to worry about these things.