2015 and 2017 were recent snowy Marches that I don’t believe featured a -NAO. 1967 was also an old snowy one that didn’t have Atlantic blocking either.
And didn’t the March superstorm of 1993 have a poor Atlantic?
This might be the first winter here since the late 90s without ever having a Winter Storm Warning. Some of poorer winters since then have had one that didn’t verify.