I believe it's much more the decadal cycle of the PDO rather than la nina because we all know of a few la ninas that were extremely snowy.
95-96, 10-11, and even 20-21.
If you go through the list of the least snowiest winters, very few of the bottom 10 were la ninas....probably more el ninos than la ninas in there...as I stated in the above post, enso state only has a 20% impact on our weather.