Not true in the case of organ transplant, a cock can go on living and giving thrills for generations after its initial host has died.
One way to overcome the grim reality of death is knowing that favorite part can continue to receive and give life. I'm hoping mine gets handed down a few times like an heirloom. I have organ donor on my drivers license. I've thought to use a permanent marker and write "save penis" next to it LOL. I'd hope my balls would go also as a package set, but that's probably asking too much. Then, truly one-in-ten-trillion odds, some woman would meet her new lover and recognize them haha. I know, my imagination is way out there.