I thought the same thing at first, but then how could Jon validate that to get others to defend his claim. They are going to need come shred of hard proof.
No he doesn't.
Aegon the conqueror had no claim to the throne. Robert baratheon had no REAL claim to the throne. They sat their arse on the seat because they were powerful enough to kill the man who was sitting there and they were powerful enough to keep it.
Even if Jon did have that proof he will still be viewed as bastard because proof of his RT's marriage to LS would still not be available and bastards can not hold titles, certainly not be king.
Jon's heritage is only significant because RT had visions that a son from his blood line would be Azor Ahai reborn/ the prince that was promised.
I doubt that the iron throne is even a thing by the end. I expect a return to the old ways and seven different kingdoms.
This post was edited on 1/6 at 10:40 am