What is this potential?
Off the top of my head; people deleting other people's characters? I know I've managed to get access to at least one character that isn't my own, through some sort of weird direct connect sorcery.
-Or perhaps deleting a character and remaking them after they've been killed by another player as IC consequence then, when someone approaches the new character they respond "No, that was my old John Doe, this is a new character!"
-Also, you could delete and remake a character that you'd leveled and then complain to DMs about losing your levels, them perhaps being none-the-wiser of the fact that you'd deleted the old incarnation.
-You could delete a character after succeeding at something due to a high ability score and then remake them with new stats so that they can succeed at something else and continue on through this process indefinitely till you are caught...
-Etc, etc.
I am by no means saying that this implementation is completely a bad idea, I'm simply supporting what Ovidiu has stated; the potential for abuse is perhaps not worth the implementation of a mostly luxury feature.