I forget where this is from, but there was another saying, "what is dead may never die but rise again stronger, or something...."
Anyway, maybe there's something to that, as it pertains to Jon.
And, I agree, after being betrayed by the Night's Watch, maybe, if and when Jon v 2.0 returns, better, badder, deader, his scope will not be so narrow as to his duty to the Night's Watch, but broaden even further, which will allow him to tackle the Whitewalker problem without the limitations of answering just to the Night's Watch.
I do think Jon was naive in his strategy. Somewhat understandably, he let the over-riding and imminent threat of the Whitewalkers completely drive the solution of bringing the Wildlings into Castle Black, thus, completely ignoring the tenuous yet important factor of having allies from within (his Night's Watch comrades). He completely ignored their perspectives, and consequences of that, even when his squire was giving him hints that, 'hey, you should really factor this angle in, our hatred of the Wildlings....'. Which, was a blind and naive move on his part, which cost him, obviously..........
Or, maybe it's as simple as, 'nearly died, but not quite'.