Snow is no stranger in Scotland either, and there's no snow tyres requirement in the UK.
Germany has a law that states you must have winter tyres or all-year tyres from October to Easter ("Oktober bis Ostern" - O to O).
Drive up to Tiffindell Ski Resort in South Affrica (8,920 ft up) in whatever you have - donkey cart, bicyle, 4x4... That gets snowed in regularly, and there's a just a hand-made "4WD recommended" sign at the bottom of the mountain.