The problem with this from a narrative perspective is dealing with consequence of questioning Jon's motives after killing him for them once. To have him be betrayed a second time can only reasonably lead to humanity ultimately failing, anything else would be in conflict with the promises made by the show thus far.
Considering they don't do that, because it would be terrible writing, that leaves us with Sansa losing the conflict with Jon, and what does that even look like? A violent conclusion makes no sense, as that would result in the same as the above. Sansa just giving in to Jon's reasoning would just make the whole conflict seem...pointless.
