This is very good, although I think there are perhaps some other levels of play, that you missed. Namely a level below "power player" in which a play just plays and their characters just want to be a part of the action and not necessarily strive to rise. It'd be the level of lower activity players who enjoy the team aspect more than individual control.
A lot of similarities with narratives here, but with a lot less involvement.
I also think it is possible to be a narrative player while having certain characters play on the others. I mean one of my characters is an influence character, anotehr is a power character, and another is an "institutionalized vassal", only seeking to serve. But, their narratives are built around those aspects, and while I could play them so that they were more successful, I play the characters with the built in flaws. (Example: I would be more successful with my influence character/power character if they didn't have the tendency to gloat. But I feel that's a built in part of the personality, so sometimes they ruin some of their own plans. But, if I changed this it would go against playing that narrative even thought he narrative is built on power grabs)