Which "privacy snafu" would that be? iOS 15 includes several new privacy-minded features.
Scanning the personal photos on your device and reporting them. They delayed the feature but did not cancel it.: https://www.techradar.com/news/apple-delays-child-abuse-phot...
If iOS is anything like macOS, they have already quietly rolled it out.
If you're on a mac, even "Big Sur", check to see if the CSAM weights file is here at: /System/Library/Frameworks/Vision.framework/Resources/NeuralHashv3b-current.espresso.weights
If you use un-jailbroken iOS 14 of course you can't easily check for the presence of the weights file, so you're already trusting Apple on their word.
That would be such a disgusting move I'd sell all the apple hardware I own right away.
If I did want to cook up conspiracy theory, it would be easy: Apple wants to distract from the fact that NeuralHash was broken by researchers. This project apparently is able to create CSAM collisions:
https://github.com/AsuharietYgvar/AppleNeuralHash2ONNX
If NeuralHash is really rolled out, and if this python project can really create collisions, the CSAM system could be DDoS'd by people on their own computers, jamming up Apple's internal censorship review system with false positives. Hence, Apple would be incentivized to sweep this under the rug by "delaying" rollout indeterminately.