I don't think anyone can say with certainty.
My limited observations have led me to think that winter weather has little effect on the spring fishing season, but springtime weather has a big impact. However, I can't back up my statements with data. Either way, the new moon in May + June will still be a good time to fish.
I think most people would agree that abundance levels and the skill of the angler are the primary factors as to why one would have a good year, or not. What makes a "Good Year" is very subjective.
Weather-wise, I'd be more concerned with an Easter snowstorm than a President's Day blizzard.
