I guess it would help to explain why I ask. There is a coin called slimcoin that uses Proof of Burn, where coins are "burned", then continue burn (aka decay, aka mint new coins) while the wallet is running. One issue that has cropped up is that the only way a user can sell his wallet, burnt coins included, is to sell his private key (which he has a copy of).
Sounds like that altcoin has a serious flaw then, because if you buy someones private keys, the original owner still has access to the funds. Not a whole lot you can do about that really.
Why would burnt coins have value though?