A lot of our European friends switch to winter tyres for the colder months. Over there the consensus is you’re the odd one out if you aren't running winter tyres for winter.
Like said before you need a thin skinny tyre which will cut through the snow down the hard pack snow or possibly the road to get grip. Big fat wide 18” alloys are just going spin on the surface layer of snow and skid off the road.
Personally I’ll be keeping an eye out for a cheap set of 16” or the like and fit them with decent winter tyres. Gives me a safer car in snow/ice and keeps my 18” alloys in good nick by not having to drive through all that salt!