I know that email providers are scanning the received and send emails. But that is something both party involved know (or at least should know) beforehand. This is what I mean with implicit permission. People sending me an email can and must expect that my email provider will scan their emails to a certain degree. They can und must expect, that I will store their email on a local device for an indefinite period. But they can also expect that I will not post their emails somewhere on the web or forward it to someone else. If they desire otherwise they may state their desire and if I agree with them I will try to accommodate for that to the best of my ability.
For most cases I know about in which ai is used there is neither an implicit nor an explicit permission involved and just the assumption that the other side is ok with their data being shared with a 3rd party as long as it is with a machine which may or may not promises to run locally. Having this permission is an assumption I will not make and which I think is wrong.
Hence why in my mind privacy and ai is irreconcilable. Because the only way I can see to have them both is with an incredible unpractical overhead of managing all this implicit and explicit permissions.
Hopes this answers your question. Though I'm not trying to convince you or anyone else.