Yes, but a preconditioned battery is above 40C, which make it much less prone to develope lithium plating.
The battery heating will be on for a part of the supercharging session.
A completely preconditioned battery probably (as in: I never tested) use more battery heating in the Supercharger so the difference might be very small or null.
I had to supercharge once without preconditioning in the winter and was chocked to see 130kW immediatly (Supercharger V2, that otherwise max out at 135-140kW).