One should use good (hopefully) metaphors to explain technology as you said, this is done all the time, but here we want to define the relationship between humans and thing X, and I would say there is no difference in the relationship with AIs as with all other tools, I would not treat a hammer differently from a printing press because it has less transformative effect on humanity.
Tools are tools, their importance in history doesn't change the relationship we have with them, you can say it change the relationship between humans when a particular tool is used, but it feels kinda delusional believing that somehow I will have a different relationship between two inanimate objects like an hammer or a printing press. I also noticed that your arguments are always centered on the United States.
EDIT: you added an edit with a metaphor that talks about numbers, but also no, I would not have a different relationship between two abstract concepts like 1.5 or pi, I would use them when necessary.
