I have had the same problem with non-studded tires on my BMW's as long as I can remember. They are so soft that the DSC/DTC thinks the car is spinning the tire or loosing grip so it is like a flashing light at everything except ECO-PRO.
My 120d was almost undrivable. Anything over 20% on the accelerator made the car lose speed!
But my F30 is pretty good. It is flashing a lot but the car still accelerate pretty good. Maybe the xDrive has a more sensitive setting on the nanny systems.