I feel like the game should have an option that allows you to reset your local times. You could reset them level-by-level in the Play menu, or all at once in the Options menu, for example. Anyway, I feel like it should be implemented largely because once a level is redesigned (like Temptation, for example), your previous times are meaningless. And in the case of Temptation, you'll never beat them.
If there's a bug, YO! I'll report it!