Also working against March and April snow is the fact that it seems decadal.
90s snowed often in March and April.
00s hardly snowed
10s snowed often
20s barely snows
Of course all this is timing. If we were hitting phase 8 now and the current reversal happened 2 weeks ago we may be looking at heavy snow in March.
Looking at the CPK snowfall chart, oddly it seems that when we have an above average snowfall December March is not snowy and vice versa (for example this year, 18/19, 13/14, 14/15 etc...). Only in rare winters like 95/96 and 02/03 do we have "wall to wall" snowfall. 13/14 came close but DC "stole the snow" that year.