You’ve expressed the belief that Jon will go on an expedition north of the Wall after he’s brought back from the Dead. PoorQuentyn believes that Jon will journey south to the Tower of Joy after learning the truth of his parentage. I have a hard time believing there’s enough time for both of these journeys in the next two books, so I was wondering if you could outline your argument for North of the Wall rather than Dorne.

No, sorry, @poorquentyn is wrong here. There isn’t enough time for Jon to go to ToJ outside of Bran bringing him along back to the past and then get back to the North where his plot lies. 

I mean, I can list it off: Benjen’s disappearance, Jeor’s argument to Jon at the end of AGOT, Qhorin’s argument to Jon in ACOK, everything that Jon goes through in ASOS, his driving purpose in ADWD, all of it is about the Army of the Dead. 

In my mind, therefore, Jon’s parentage matters in terms of prophecy and bringing together Ice and Fire to save the world.