You can buy an all season tire. You can buy an all terrain tire. Different models of tire. Not really semantics.Semantics I surmise. My point is any “all weather” tire, is going to be a compromise all of the time. It will do lots of things ok, but nothing as well and a dedicated tire - Especially in ice/snow.
I live in the Rockies, and the abilities of a dedicated snow tire are like night/day vs an all terrain / all season (whatever you want to call them).You can buy an all season tire. You can buy an all terrain tire. Different models of tire. Not really semantics.
I have never felt "under tired" in the snow with the Falken or Cooper AT's. I have never been stuck or unable to travel. I have never been out of control. And we get a lot of snow here in the NE Ohio snow belt. And living in the boonies means roads do not get plowed for a day or 2 after the snow.
I see no point in a dedicated snow tire. They will provide me nothing more than I already have, especially for the added cost and time.
Check the tire store websites and the manufacturers' websites as they will provide a rating for snow and also for wet pavement as traction on both is important.
The foctory Hankook DynaPro AT2 tires are considered to be excellent for snow. An alternative would be the BF Goodrich T/A KO2 ties that are "severe snow service rated".
Factory tires need 35 PSI which is not a problem. My last 2500 pickup had Load Range E tires and other than a tire store I needed to get the 80 PSI from a Viair compressor I bought. With a D range tire 65 PSI is needed and that may be more doable at a gas station.