2007 Lexus Ls460 Tires

30 degress and snowing on halloween, switched to winters and the next week on a 45 degree rainy morning had no traction and rear ended driver who cut me off and slammed on brakes. I understand this was at borderline temps so am not sure if the tires should have been equipped or not but i was shocked to have the tires instantly lock up with 0 traction under ABS when they had full tread and less than 300 miles on them. Maybe these excell in true winter conditions but so far have let me down in the midwest