You mentioned in a previous ask that Show!Dany will be pissed off when the truth of Jon’s parentage comes out. But what will she be angry about? I can’t see Jon wanting the Throne for himself, even on the show, so where’s the conflict?

It doesn’t matter that Jon doesn’t want it, it’s still going to cause difficulties when the news comes out, because it will diminish Dany’s legitimacy as a ruler. 

And Jon being already a king, it’s harder to believe that he doesn’t want to be the King, even if he proclaims otherwise.