We wear shoes/slippers in the house. For 2 reasons

I have never been able to teach any of the dogs I’ve had to take their shoes off when they come in the house. So the floor is getting dirty anyway even as we speak. Sweeping and vacuuming happens more than once a week.

When you live in a place where the temperatures are below freezing for 6 months out of the year, your house cold soaks. So the floor is most likely going to feel uncomfortably cooler than people who live in a more temperate climate experience. And it doesn’t matter how well insulated or sealed your house is, it will cold soak. Slippers/shoes for the win.