Earlier quoted context omitted.
You cannot extract or reverse the CSAM hashes. They've been encrypted and blinded using server-side-only keys. If TFA said that, it's lying.
After more reading of the whitepaper I think you are right. As I understand it, given the image hash H0 and CSAM hashes H[1]...H[n] (some might be duplicates in disguise) the algorithm proceeds like this: - The device generates a secret X and divides it into X[1]...X[m] with the secret sharing algorithm. m is some large number and any k (but no less) copies out of X[i] are enough to reconstruct X. - The device stores…
> Apple’s method of detecting known CSAM is designed with user privacy in mind. Instead of scanning images in the cloud, the system performs on-device matching using a database of known CSAM image hashes provided by NCMEC and other child-safety organizations. Apple further transforms this database into an unreadable set of hashes, which is securely stored on users’ devices.
https://www.apple.com/child-safety/pdf/CSAM_Detection_Techni...