The method Apple is using looks more like a cryptographic hash. That's entirely different (and more secure) than a perceptual hash. From https://www.apple.com/child-safety/ "Before an image is stored in iCloud Photos, an on-device matching process is performed for that image against the known CSAM hashes. This matching process is powered by a cryptographic technology called private set intersection, which determines…
The cryptography is most likely done at a higher level than the perception comparison and is quite likely done to protect the CSAM hashes than your privacy. My interpretation of this is that they still use some sort of a perception based matching algorithm they just encrypt the hashes and then use some “zero knowledge proof” when comparing the locally generated hashes against the list, the result of which would be ju…
That means you can't prove an incriminating file was not deleted even if you're the victim of a false positive. So they will suspect you and put you through the whole police investigation routine.