I'm not sure what this is in relation to what I said. You're mixing book stuff and show stuff, which I've been yelled at doing before, so I'm not sure if that's allowed, /s.
The Ironborn declared themselves independent, and Dany had even told Yara they could remain as such in Dany's NWO, but in the finale, the Iron Islands remain part of the 6 Kingdoms. Not sure what Stannis has to do with anything, seeing as he's been dead for a good long while.
I'm not really concerned with the book lore, as the show has been repeatedly described as it's own thing. Dorne was never conquered by the Targs either, yet that Kingdom acquiesced and became a willing part of the 7 Kingdoms whom recognized the Iron Throne as the power source and bent the knee. This was before a Dornish princess was married into the Targ family tree. So the fact that the North wasn't rofl-stomped way back when doesn't really apply to much. It wasn't mentioned in the show, not sure why it's pertinent to mention it now.
A consistent question asked throughout the show was, "Are children responsible for their parents actions?" It was left open-ended as a direct & plain reply was not satisfactorily given. However, we are led to believe that Children do not stray far from their parents (apple... falling... tree), as Dany is inherently depicted as her father, and Jon as his supposed father. If that were a truism for this world, (Tyrion is wise/clever as his father was), then Sansa should also be a kneeler, as both Catelyn and Ned respected the authorities of the land, Catelyn even more so than Ned being aware of the game and how to best play it.
But whatever, everything not explicitly said is open to interpretation, and everything said can be construed as desired. Whims and wants.