Privacy works, but you should be aware that without attempting to cancel on the service, some providers get really angry. I tried and failed to cancel NYT, and they force-posted [0] a subscription renewal despite getting declines on the card. In other words, it didn't matter that the card was paused or that they didn't get authorization, they still tried to post the transaction. I don't necessarily expect this from every service, but it certainly wasn't as painless as I thought it was going to be with a virtual card number.

[0]: https://support.privacy.com/hc/en-us/articles/360012288214-F...