No, it won't.
A plane doing 360 turns in calm air flies the exact same as a plane doing 360 turns in air moving 300 kts. (assume no turbulance in either). Point is wind alone has ZERO effect on the plane except ground track.
Correct, Ground Track = Gravity Well/Field of Earth which is where inertia lies. Inertia adds the 'ground track' component to the equation when you add an acceleration component off the wind. You can't leave gravity out of any energy equation.