I believe traction control is affected by tire tread and composition. ABS doesn't care, it just prevents brakes from locking up when it is sensed.

And all-weather tires have a tread pattern that allows decent fair and inclement weather performance. Tradeoff is that in order to offer smooth riding comfort in good weather, the tread is not as aggresive as would be for dedicated winter tires.

A winter tire's aggresive tread pattern is best suited for snow and slush filled pavements, but are generally pretty noisy when driving in fair weather.

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2009 ML350 (106K) - Family vehicle
2001 CLK430 Cabriolet (80K) - Wife's car
2005 BMW 645CI (138K) - My daily driver
2016 Mustang (32K) - Daughter's car