In the past the FBI used some cryptographic hash. Collisions with a secure cryptographic hash are functionally unobservant in practice (or else the hash is broken).
The use of the perceptual hash is because some people might evade the cryptographic hash by making small modifications to the image. The fact that they'd discarded the protection of cryptographic hashing just to accommodate these extra matches is unsurprising because their behavior is largely unconstrained and unbalanced by competing factors like the public's right to privacy or your security against being subject to a false accusation.
The use of the perceptual hash is because some people might evade the cryptographic hash by making small modifications to the image. The fact that they'd discarded the protection of cryptographic hashing just to accommodate these extra matches is unsurprising because their behavior is largely unconstrained and unbalanced by competing factors like the public's right to privacy or your security against being subject to a false accusation.