states that the laws of physics are the same for all observers in uniform motion relative to one another.
Yes and true.
In other words F=MA (force = mass x acceleration) from Newton's Second Law of Motion on Earth, from a fixed point, and relative to the wind are indeed all the same.
Incorrect and contradicts the former statement. F=MA from a moving body of air, and F=MA from a fixed point, and from the earth are not the same. The differ by the amounts the bodies are moving. Therefore the inertia of a plane turning in the air is completly resolved by the G-Force created from the bank and does not make any differance in headwind. F=MA relative to the ground is differant, the differance being the windspeed. Differances from inertia of wind gusts was conceeded long ago.