A more typical 'Arctic' airmass enhancing a baroclinic zone in a favorable pattern can produce some pretty cold/high ratio snow events. The Blizzard of 1983, a big storm, produced heavy snow with temps in the low to mid teens, as did the late Jan 2010 moderate snowstorm, just to name a couple examples.
Too much confluence resulting in a suppressed storm track is not a vodka cold thing. Sure a brutally cold airmass with a strong cold front sweeping through can push the baroclinic region wayyy off the coast and make for dry conditions. We don't get that kind of cold much though. This whole dopey convo started with someone commenting on a "vodka" cold airmass being on the doorstep of the US at day 15 of a GFS op run. So a couple things- it was a damn op run, and even if it did verify, that cold would dump well west of here. Reality is we don't usually get direct shots of brutal cold in this area, esp not in recent times. So worrying over that possibility and that it might be dry and not produce snow is a little silly, considering we have a multitude of other more likely failure modes.
I think there might be some conflation here with the tendency for us to see cold and dry following a mild rain storm. That is a function of our location/latitude, and the fact that we need a lot of elements to come together to have cold enough air in place and a storm that takes a favorable track.