'95-96 was weak La Nina. 2010-11 was a moderate to strong La Nina. Both featured alot of cold and Snow. I've not looked into how the Walker or Hadley Cells were those Winters. don't know if you can get Archived Data irt that. Maybe you can see what you can find Jax.
I will say, if they were active in the way the upcoming is predicted, I wonder if the strong Blocking those Winters countered that. ?. Law of physics would say strong upstream Blocking would alter the effects of the Cells thereby keeping the Jet from being forced North . Of course, there would be a battle between the two as they'd war against each other. So, depending on how strong the EWB'S are and how persistent I suppose on whether they would force the Block out or not. Of course , as of now strong Blocking doesn't exist on ensembles. They actually look as if what blocking there is is eroding but, that could be them seeing the Cells forcing doing that.
The Other fly in the Ointment is what Carvers mentioned about the MJO. How will that affect the Cells typical response.?.