Siri being complete crap has
nothing to do with privacy, in fact the original iteration of Siri sent
everything to the cloud for processing. I honestly don't know how the meme got started that privacy, out of all things, is hurting Siri.
Siri cannot even remember the subject of the last question. It cannot answer meaningful questions about anything on the internet. Its knowledge of "places of interest" is terrible because Apple's database is years behind Google's. I've given up on "Hey Siri" because it just doesn't work.
If Siri is almost useless when it comes to publicly accessible information, then how would it help to give it centralised access to private information?
(Or the other way around: If Siri worked well, but was limited to publicly available information, it would still be freaking awesome. But I have my doubts about the current iteration of AI.)