Lannisters scheme to use Sansa’s claim to take Winterfell. Robb sees this and creates the infamous Will to disinherit Sansa in order to keep Winterfell out of Lannister reach and as King of the North it’s his duty to protect his people from those who intend to harm them, a.k.a the Lannisters. Unfortunately, Sansa is caught in this crossfire and has to lose her claim to WF in order to keep it protected.
But, I could also see Robb’s Will hindering LF plans for Sansa. We know that Jeyne is posing as Arya and should that be exposed, the Bolton’s hold on WF would be destabilized. Leading to LF possibly bringing Sansa out of hiding as Alayne and rallying people behind her to claim WF. And then, Robb’s Will comes out, stating she infact no longer holds any titles or claim to WF as she was disinherited by her older brother and KITN or said reasons of being the wife of a Lannister and infact Jon was made Robb’s heir. LF plans of taking WF using Sansa are derailed in a very unexpected way, which is more ideal because LF seems to have no knowledge of this and it would completely screw with him (then again it’s just my theory of thought, people could have better ideas of what Robb’s Will could do)
It’s just interesting that because it puts Sansa in a negative spot the fandom ignores it, despite it being made to protected Winterfell. And if someone like Stannis calls Sansa ‘Lady Lannister’ I wouldn’t be surprised if Northerners remember her marriage and are hesitant about her claim as well.
I support all this.
It's clear no word of Robb's Will went past Northern Houses. No big player appears to know. Which is why it is such an exciting Chekhov's Gun.
So many people are making plans without knowing of it. Stannis offering Winterfell to Jon, but on his terms, as if it's HIS benevolent gift. Boltons parading a marriage to a fake Arya. LF trying to use Sansa. Even Manderly with Rickon.
It's a mess. It's hilsrious.
I can't wait. (...if it ever gets written).