Folks,
A lot of brain cells are being extended to prove a Newtonian result in an earth-referenced scenario.
The "v" in all of the physical equations is TAS and is airmass-referenced! All of your extensive arguments only reinforce the pitfalls and inherent dangers of flying an airmass-referenced machine by reference to the ground.
But if you wish to discuss windshear, then you are dealing with the physics of a machine that is operating in an unstable medium - one that changes far faster than the relatively miniscule changes in lift, drag and thrust can compensate.
Stay Alive,