I don't believe that is true. The opposite happens. Being more efficient the stator will run coolerSatnam, you 100% correct on what you say.
I would like to add that with the MOSFET R/R that shunts more efficiently that the stator ends up dissipating the extra power. Something to keep in mind if the OEM stator is marginal rating wise. Or to put it another way not as reliable when run hard.