A potential issue that might be overlooked, that also exists when dealing with your bank and depends on the T&Cs, is a right of set off over the whole relationship.

This is a right to recover money you owe on one account from another account you have with them.

It's likely (though I have not read the T&Cs) that they have a clause that they can recover money you owe on this credit card from your Stripe payment account.