Certainly that information would be much more accessible in the event of an investigation. I don't think there's any doubt. I don't see significant defects in our existing laws.
I also see a problem from a big-picture public policy perspective in regulating activities of one particular technology. It's not focused on the mischiefs; it's focused on the means. Theoretically, I could hover a helicopter 500 feet above your house, with a very long lens, and commit a worse mischief than flying my small Phantom drone 100 feet over your house. We should focus on what the mischief is rather than the means by which it's carried out, and be consistent across technologies.