I totally agree with this. Shallan is far more likely to let it get out of control before she does anything about it.
"I think in either SA 4 or 5 we're going to see a major spren death via broken oath or Nightblood.
Right now our major spren characters are Syl, Pattern and the Stormfather. I can't imagine the Stormfather dying, and I don't think it would impact Dalinar like Kaladin or Shallan would be if they lost their Spren."
-What's a SeaWolf
That said I think the storm father will die before it is over, he will go back to his "pre-honors' death state" but it won't be Dalinor's fault. Odium will try to kill him directly, like in Dalinor's visions with Odium.