I did some tests with my Model S here:
Energy consumption for Preheating
Since the Model 3 has a similar sized battery the energy to heat the battery up should be similar.
As for Supercharging with a cold battery, I think Bjorn tried to show that driving the car hard for a few minutes will warm up the battery enough to gt a faster charge rate at the supercharger. When plugging in cold, the charge rate would be slower and you would spend more time. The faster charge speed would more than make up for the few minutes of driving. I don't know if I like the idea to push a cold battery with hard acceleration.