Sure there may be a hard copy but that will only have value after the crime is committed. Deauth / jamming will prevent the more meaningful things like proximity alerts and notifications from informing the user (or security system) which could lead to intervention.
I've always viewed camera storage as a fallback in the event something fails. Don't get me wrong I think redundancy is great and it's a fine feature. It has value - just less so in this particular case.