So I'm no meteorologist, but weather has been my passion since I was in the 3rd grade(I'm 28 now), so disclaimer that what I say may not be 100% accurate.
In regards to this storm, it's all about cold air. The cold air will be retreating today and tomorrow, so earlier models pushed this storm out quicker, resulting in there being plenty of cold air to work with(combined with the fact that this storm is a cold core storm). But the last couple days' runs slowed the storm down by about 24-32 hours, meaning it had less cold air to work with, so snowfall is ENTIRELY dependent on that cold core. So when the storm went slower, it went more south, keeping that cold core just out of reach for certain areas.
If the storm sped up, while it would mean less snow to an extent, the snowfall rates in those deformation bands will still be very high, so it's relatively negligible in my opinion.
Hope that helps!