I've been fine with the same tires ^^ on Ice I could not walk on, but was fine riding my bike ..

I built wheels with wider rims * so the profile of the tire is more D shaped than Round cross section.

* Fairbanks AK All Weather Sports , Snow Cat .. 45mm wide..

wheels Built in 1990..

It's not a regular season , but a weather occasion , but it does Snow at sea level out here, and the roads Ice up.