You are not supposed to use cruise when conditions are slippery. Your Conti is probably sensing amiss and is switching itself off. In the winter I don't use cruise control at all. My son's van is not as smart as your conti so he used regular cruise control and had a nasty moment and lucky he did not crash, so now he listens more attentively to dad.
This is what the owner manual says:
USING CRUISE CONTROL
WARNINGS
Do not use cruise control on winding roads, in heavy traffic or when the road surface is slippery. This could result in loss of vehicle control, serious injury or death.
When you are going downhill, your vehicle speed could increase above the set speed. The system does not apply the brakes.
USING ADAPTIVE CRUISE
CONTROL (If Equipped)
WARNINGS
Always pay close attention to changing road conditions when using adaptive cruise control. The system does not replace attentive driving. Failing to pay attention to
the road may result in a crash, serious injury or death.
Do not use the adaptive cruise control when entering or leaving a highway, on roads with intersections or roundabouts or non-vehicular traffic or roads that are winding, slippery, unpaved, or steep slopes.
Good luck.