At the moment, no. Each device you have to process the same data locally and doesn't get sync'ed. You can clearly disconnect the network and see it work in Photos.

> What happens if you lose your phone. Do you lose all your photos?

Not sure what you're asking as this has nothing to do with AI or anything being discussed here.

If you don't back up your data or use Photos iCloud Library to upload your photos automatically to your iCloud account, then yes, you lose all of your photos.