Except that the analogy is that they already have, or can easily create, that list. If they couldn’t, their value proposition would be lame. “We know you’re looking for a specific license plate, here’s a million hours of footage from all over the city, have at looking through it all.”
Only for paying customers, which you aren't of course. If those customers paid public storage to inventory their stuff, then that inventory is their property. Surely it would be inappropriate to use their inventory data to find your naked photos. A violation of privacy even. (/s, kinda)
I was enumerating the likely defense, not that it's valid.