I had a set of Chinese winter tyres which were OK in the dry but became scary in the damp.
Changed them a week ago to Nokian WR A3 as the chinese ones were a big crash just waiting to happen. I was told by the garage to allow 200 miles for the Nokians to bed in.
Due to the deep tread pattern you can feel them move a little if you turn in hard but they don't let go. It's just a different feel to a Summer tyre. Wet grip on Winters should be better than a Summer tyre at this time of year regardless of the tyre labelling. There are a few places where the ABS would normally kick in when it's damp on the Summers but I've not had that happen with the Nokians at all so they must be gripping better.
Take the tyre labelling with a pinch of salt. All tyres are tested at an ambient temperature of 25degC for the tyre label wet grip test. That might suit a Summer tyre but is totaly outside the intended optimum operating temperature for the Winter tyre. They should do a 25 degC test and a 3 degC test for all tyres.