Not really, LGA, PHL, and BWI are all quite similar. We see greater differences locally, Central Park is wetter than JFK by 7 inches.
LGA - 55.7° (mean) - 44.71” (precip) - 26.6” (snow)
PHL - 55.8° (mean) - 41.50” (precip) - 21.9” (snow)
BWI - 55.6° (mean) - 41.85” (precip) - 20.1” (snow)
DCA - 58.2° (mean) - 39.71” (precip) - 15.4” (snow)
I used to live in the DMV area, it’s not all that different compared to NYC (aside from March), in recent years the difference in the amount of snowfall between the two has been pretty extreme, however. That isn’t exactly “normal” though.