Probably the biggest point crutch missed is that these are WW2 fighter planes: they do not have enough power to sustain corner velocity turns, and definitely not enough power to increase IAS while turning max-G at corner velocity.
In the case of dueling over-powered jets who can still increase IAS while pulling a max-G turn, he would be right in the conclusion ASSUMING the increased power jet stays in the flat turn rather than using the energy to climb. Increasing power in this case would push IAS past corner velocity, reducing turn rate and increasing turn radius.