No, they do not. That is how you are interpreting their actions. It’s obviously not the narrative they are pushing, that would be utterly absurd. The narrative Apple pushes over and over is that it’s your device, and that what you do with it is private and stays with it. Outright saying the device is theirs and they only let you do what they choose would be incredibly stupid, and their marketing is not incompetent.

Mind you, this doesn’t mean your interpretation (which is shared by many people) is wrong. On the contrary, it has merit. But it makes no sense to say Apple is pushing it as a narrative, that’s not what the expression means.