Well I understand that information, like energy, cannot be destroyed (hence Hawking radiation) so it couldn't just be reduced to zero, it'd have to be transformed. Also the parent's argument about freezing and then reheating to destroy and restore information is a good one because that would be reversing entropy in a closed system (assuming the info was indeed destroyed) and thus impossible.

IANA physicist though, just a lay person with an interest in information theory.