Ice traction is a big demand from a tire. If you want ice traction you want Blizzaks.
NO all season is as good as a winter only set of Blizzaks on all 4 wheels. And you can not run Blizzaks in warm weather, you would wear them out quickly. You have to put them on late and take them off early. Best to have them on there own rims. Once you drive on a set of Blizzaks (all 4) in a bad winter you will never want to use anything else in the winter. They have traction on ice, even smooth black ice with a powder snow on top of it that you can not stand on. There traction is about 1/2 that of a studded tire, but if you take it easy you can go, stop, and turn with complete control. A two wheel drive vehicle with a set of Blizzaks will out drive a 4WD with all seasons every time.
Blizzaks are good at highway speeds and they are quiet compared to other winter tires.
Knock the set you are not using down to 3 to 5 PSI during storage.