Canadian and GFS trend slightly farther south with the Thursday storm:

Snow is still likely for portions of the Mid-Atlantic on Wednesday night into Thursday afternoon, but both models trended a little south from their previous runs, especially the Canadian. The GFS still has Long Island getting some light snow, but the Canadian no longer does.

As for the Tuesday storm, it looks like mostly just snow showers for Long Island on Tuesday with possibly up to an inch, but I will update this afternoon and also post what the Euro is showing for the Thursday storm.

The 1st and 2nd images are for 1 PM Thursday from the Canadian and GFS, respectively.