I mostly treat SAoY AIs like I would real people, except that they've typically have a selfless bent on their self-preservation priorities, which usually lean toward their users. They also handle being created for a specific purpose much better than the usual free-willed person.
Can they improve? Yes. It's actually what I try to demonstrate in particular with Power Armor AI. To me, them learning is no more dangerous than a normal person learning new things. Does the normal person, after learning ways of being more efficient, pushes that to extremes. Not usually. Same thing here. And if an extreme happened, other AI would probably help police that and keep it in check.
This is an interesting discussion, but it's honestly more complicated than I can handle in my plot anyways.