it depends on what kinda driving you do but I trust GOOD snow tires way more than any all season, period. Reason I say good snow tires is we don't snow enough to just use "any snow tires will do the job". Most of our driving is actually dry / rain / black ice with limited snow surface. Cheap snow tires performs way worse than your all season in dry and possibly some raining condition. Stopping distance is way longer in dry too.
Snow tires is also good investment, in terms of your stock all season soon needs to be replaced ONLY because of year around driving plus "oh winter is coming". You could have a few months if it was summer. Lot of tires rebate ends tomorrow tho! Do it quick and save yourself $$$.