As someone who grew up on LI in the 70’s and 80’s I can tell you this is what most winters were like.
Countless times the snow went “north and west” of the Tappan Zee bridge. The explanation given by the meteorologists on TV and radio was that LI was not conducive to snow. There were “too many variables” working against LI to get one of those 2 foot storms frequently, like warm ocean air as a primary example.
6 inches was a rarity then. The 80’s has April of 82, which started to melt as soon as the clouds cleared, and Feb of 83, which was a huge storm, I remember almost 2 feet.
Nothing really until 95/6. That winter was colossal, “unheard of for our area”.
Since the turn of the century, our winters have been unbelievable.
Inevitably, they will return to the “normal” ranges