Sorry AWD works ALL year round for 100% of owners, winter tyres for most of us maybe the odd day or two a year, factor in cost and storage and basically they are a luxury. Of course, winter tyres are a supplement mainly for 2WD and not required for most folks with AWD.
OP asked does R work in the snow, as in better than FWD answer is yes. DSG in E and soften the pedal box from sport, and ever so gentle on the long pedal (just like swiss Tony would treat a beautiful woman) We're not talking Kielder forest here! Or are we?
You do know that in Germany, where your car was manufactured, there is a legal requirement to fit winter tyres. There is no legal requirement to have 4WD.
A few years ago, I was in Munich with my wife for the Christmas markets. As it was -20C they don't even bother gritting the roads as it would freeze anyway. So the roads were all covered in ice. Yet there were lots of rear wheel drive BMWs and Mercedes cars driving about no problem. So there goes the myth that rear wheel drive is useless on snow and ice. The other myth is that 4WD is safer in the winter.
Now, I know you don't believe me. So google, "4 wheel drive myths".
I have yet to see any article or video that shows 4WD is safer than winter tyres. Surely there must be some evidence on the internet somewhere? (don't bother looking you won't find any)