But do you feel the same way about weak el ninos vs strong el ninos?
Just using deductive reasoning, we can surmise that weak phases are usually best because they do not interfere with the overall pattern as much and thus other factors (like nao state) are allowed to take over.
With a strong el nino (1998 for example), you can have a -nao all you want, but the winter won't be snowy because enso overwhelms the entire pattern. The same should be the case for a strong la nina.
It's also interesting that la ninas that come after el ninos are snowier, perhaps because the subtropical jet from the previous season's el nino is still actively supplying moisture for that snow?