Huh? In my experience at least that is not the case. If a vendor no longer has your correct card details on file (which would certainly be the case if your old card expired and you were issued a new one), then the vendor's charges will be denied by your issuer whether you had a long standing recurring payment or not. I know this because I sometimes receive a 'payment overdue/problem processing your payment' notice from some subscriptions I forget to update when an old card expires.
You seriously can't imagine this or are you just being snarky? Happens to me all the time. Swap out hard drive to upgrade, throw old drive in box with other hardware junk, throw out junk box months later or when moving to new apartment or simply forget which old box you put that old hard drive in or even which old hard drive had those files etc. Even easier with usb hard drives or external drives.