Cancelling a credit card doesn't mean the linked subscriptions just disappear. Plenty of people find that out the hard way when their unpaid bills are sent to collections.
That's an issue between me and the merchant. I don't want MY bank acting as an enabler for the merchant over my wishes, with my money.
Based on the brief detail provided, I think OP's mistake was to cancel/reissue the card rather than dispute the charge / block the merchant.