I wouldn't be so quick to totally write the NAM off just yet. One major difference between the NAM/GFS is where the placement of the Arctic front and where the baroclinic zone resides. Models can really struggle with this aspect. If you look at the NAM (the Euro is somewhat closer to the NAM than GFS I think) where the baroclinic zone is positioned, combined with the dynamics would yield potential for cyclogenesis and low pressure to move north and east off the coast.
I know there are some models that are amped, but I think those models are a bit overdone. I don't see much in the way of room for this to become amped, however, Tuesday into Wednesday could be a bit interesting as that second shortwave which moves through looks to be more amped and have room to be more amped.
One of the keys with these Arctic boundaries is where the barolcinic zone resides which models can really struggle with. There is even differences with the swath of wintry precipitation in the South but if a sfc low can spawn more quickly that is something to watch.
Ultimately, the window is very small for a bigger event, but region wide light snows are certainly on the table.