Each "model site" has algorithms, often different, they use to compute snow. Tropical Tidbits computes sleet and snow on the same panel as you have probably read so their maps are often over inflated for snow fall totals vs. being under like you pointed out. But I see what you are talking about in this case, and it is a bit strange as the presentation on the Tropical Tidbits precip maps would suggest more than 3" of snow would fall in your location.
Anyway, here is how Pivotal computes including the comments that it uses snow fallen.... not necessarily snow that will accumulate so that may be one clue to the difference. They are discussing something similar in the MA thread and speed of the front among other things was mentioned as a possible explanation for inconsistent snow maps this run.
https://home.pivotalweather.com/guides/snowfall
Our snowfall products generally attempt to forecast the snow that falls to the surface; not necessarily the snow pile you see on the grass, interstate, your rooftop, or anywhere else after a long storm. There are some caveats with Kuchera (penalizes warm temperatures in part to account for on-ground melting) and accumulated positive depth change (explicitly accounts for melting, albeit with model data file frequency as a confounding factor) — but none of these products will consistently provide an accurate forecast of final ruler-measured snow depth, even if the model’s QPF and vertical profile are spot on!