Apple's plan was to have your device conduct the scan and encrypt the scan results so not even they could see them until a threshold of ~30 image matches was reached.
This protects the user from false positives.
Once the 30 image threshold was crossed, the plan was to have a human review before turning someone into the authorities.
I think we all know that Google is not ever going to hire expensive human beings to supervise it's algorithms, so a single false positive would likely see you turned in for kiddie porn.