You wouldn't need 30 of them or to upload them to iCloud.
If a nation state can demand Apple uses their existing function to scan your phone for political images, then they can likewise demand that 1 hit would be enough, and that there's no requirement for it to be uploaded to iCloud before the scanning can start.
They're combining Private Set Intersection and Threshold Secret Sharing in a way that means that 1 hit, isn't enough. They can't even tell how many red flags you have.
That’s bit how it works. They would need to have apple update iOS with the new hash, and then the photo uploaded to icloud.
If they change the system to just start scanning local photos globally there really is
Nothing to stop them from pushing out an iOS update today that does the same thing.