I think it would obviously be less than ideal for Google to require an employee visually inspect child pornography identified by image hash before informing a legal authority like the police. So it seems more likely that the remedy to this situation would be for the police to obtain a warrant after getting the tip but before requesting the raw data from Google.
Would the image hash match qualify as probable cause enough for a warrant? On page 4 the judge stops short of setting precedence on whether it would have or not. Seems likely that it would be a solid probable cause to me, but sometimes judges or courts have a unique interpretation of technology that I don't always share, and leaving it open to individual interpretation can lead to conflicting results.