I don't think I've ever met a non-enthusiast who had both summer and winter tires. Is that actually a thing? Maybe in the mountains? Here in Iowa, everything is pretty straight and flat, so you just need to leave more room to slow down.
I have winter tires for my Prius in Indiana. Makes a world of difference and I only use the snow tires for a month or two so they last a long time. The recommended tires on a Prius are these low-rolling resistance tires that are downright treacherous on snow.
Our Civic had some premium Michelin tires on it when we got it. They had zero traction in the winter. Slid through far too many intersections and was all too happy to see them go.
I have winter tires on because it’s the law 4-5 months per year but this isn’t the US. People in the north here use studded tires.
Driving with summer tires in winter is extremely slippery, tires makes much more difference than road prep!