Final point.
We all know that drag increases/lift componant dcreases in a turn and requires more power to maintain IAS. However, do we know if some of that power is being used to counter the effect we are referring to? I think not. It's question of conservation of momentum and energy. If you fly into a cliff with 100 kias and 30 kts headwind, you will cause less damage than if you had 30 kts tailwind (the old v srqd bit). If you turn abruptly to avoid the cliff that conservation of energy/momentum will show in the ias.