I'm not sure I agree. I can't recall specifics but back in the day a trick to get out of these was to report a card lost or stolen so you'd get a new number. But some banks now allow recurring charges to continue on the new number for "convenience" reasons.
Therefore you need to use a throwaway or cancel the card.
I got a card from X1 and am using it solely for my recurring services, since you can create unlimited virtual numbers and put price caps/age limits on them.
That's the issue. Cards generally don't let you control billing "by-vendor" or "by-billing-series".
As for the "allow recurring charges to continue on the new number", none of my banks allow this (I know because I had my internet bill lapse once after an old card expired and subsequently got declined. The number didn't even change, only the expiration and CVV). I don't know how it works, but if I had to guess, banks get to decide whether a charge goes through and they could probably let you pick by vendor but probably aren't incentivized to do this.
(1) the government could make them or (2) it’s a feature which could help attract and retain customers. Credit cards a a highly competitive business.
Larger picture, we could really use a reformed payment system (government demands it) that address many inefficiencies of the system so that banks would have less wriggle room to claim the high fees they do. If there was less fraud and fewer chargebacks the banks could charge lower fees, as it is they con’t have a lot of motive to crack down because they can make us all pay for it.
Therefore you need to use a throwaway or cancel the card.
I got a card from X1 and am using it solely for my recurring services, since you can create unlimited virtual numbers and put price caps/age limits on them.