Dany’s dialogue about her people’s history is really significant ? If you look back, she’s never stayed in one place long , Meereen, arguably, was the longest she’s gone without forward motion , without a renewed purpose and even then she was working towards a fleet that would take her, and hers to Westeros.
Multiple times, throughout the show, her parallel to the dragons she speaks of are none too subtle . ‘ a dragon is not a slave ‘ being chief among them. Now, in 7x07 we heard her address it in a different way . That the last dragons were made small by the shackles that kept them in Kings Landing , an allusion , undoubtedly, to her pursuit of the Iron Throne.
Even Cersei herself, in her discussion with the Iron Bank , says that Daenerys is not a Queen, but more of a revolutionary ; something she’s acknowledged herself in her quest to ‘ break the wheel ’ that keeps the Seven Kingdoms complacent and crushed under the thumb of their monarch.
Obviously , with the overtones that her and Jon are meant to be this prophetic coupling , the prince who was promised / theirs is a song of ice and fire, etc. It’s important to recognize that Jon , who is the would be rightful heir , would never usurp that title from a Queen he’s sworn fealty to even OUTSIDE their romantic interests in one another , and within that , they’re likely to marry anyways , so what does it matter ?
In 2x10 , we see Daenerys in the house of the undying ; snow capped the Iron Throne and the stones of the Red Keep are melted ( by dragon fire , like Harrenhall, it’s an identical set of destruction ). in 7x07 , as Jaime leaves Kings Landing , snow has begun to fall, winter has reached the South.
That parallel is unmistakably tied into the idea that Daenerys, the breaker of chains whose ancestors brought the Seven Kingdoms to heel and forged the Iron Throne, would be the one to undo the bindings, sever the shackles that everyone should owe allegiance to a singular soul. She will destroy the throne, the Red Keep with it, and free the lands of Westeros to their own sovereignty, with Jon at her side , no less.