The studded front tire has great traction for the ice covered roads!
I didn’t stud the rear tire for these reasons and I will give you my sources for my conclusion. First the simple answer is the body always follows the head. Head being the studded front tire and the body being the rider, bike and rear tire that is not studded. What makes a great handling bike is many forces acting together and if your fork rake and trail are stable you have better control (See Wiki for Bicycle and Motorcycle Geometry) . The contradiction to this idea will be a rider less bike with no trail or gyroscopic forces that maintains an upright position when pushed or “Ghost Ridden” (See Bicycle Stability).
I also feel that there needs to be some finesse to cycling and riding without the studded rear tire helps improve heptics with pedal stroke and power. The times the rear tire slipped on the ice or got caught in ice grove the bike felt stable and I decreased pedal power to compensate.
The commute was great and the temperature is -6 degrees Fahrenheit.
People go ride your bike its winter; this is just another season for cycling.