What happens if someone leaks or guesses the weights on that "secret" classifier? The whole system is so ridiculous even before considering the amount of shenanigans the FBI could pull by putting in non-CSAM hashes.
Also, the whole point is that it's fairly easy to create a fake image that collides with one hash, but doing it for 2 is exponentially harder. It's hard to see how you could have an image that collides with both hashes (of the same image mind you).
Of course, it won't be public (and if it ever became public they'd replace it with a different secret hash).