& it seems you don't read the posts either Brooke..
I read them.
Either that or you simply ignore those which run counter to your assumptions..
..or what you 'believe' - as FLS puts it..
Do the maths lie?
Got any proof via scientific formulae?
Otherwise opinions are fine.. but weak.. as evidence, even 'logic' - don't cut it against maths..
& same goes for ol' mans empirical/experiential opinions, since he hasn't actually done
a climb which matches the parameters of the stunt, obviously..
These are aspects of basic physics and basic aerodynamics. The equations in aerodynamics (thrust, lift, drag, etc.) depend on speed of the aircraft through the air, not on the speed of the air relative to anything else. That's why if you put a wind tunnel in a train car and tested a model while the train is at rest, you would get the same results as if the train car were moving along at a steady 30 mph. This is the concept in physics of a reference frame.
Here is an equation for rate of climb in reference frame of the air that the aircraft is traveling through: ROC = (T - D) * v/W, where T = thrust, D = drag, v = velocity of aircraft through the air (relative to the air it is travelling in), W is the weight of the aircraft. D = 0.5 * rho * v^2 * S * C_D, where rho = density of air, S = wing area, C_D = coefficient of drag. T = eta * 375 * gamma * BHP / v, where eta is propeller efficiency, gamma is a factor for how much of full power is being applied (1.0 for full power, 0.5 for half power, 0 for no power, etc.), and BHP is the brake horsepower of the engine.
By high-school physics, here is an equation for rate of climb in air moving relative to the ground (i.e., in ground's reference frame), choosing a reference frame with y direction perpendicular to ground and x direction parallel to ground and with an arbitrary wind velocity vector (v_x, v_y): ROC_withwind = ROC + v_y. This is high school physics. Note now that ROC is independent of v_x and v_y, and thus that ROC_withwind depends on v (speed of aircraft through the air, independent of what the speed of that air is relative to the ground) and on v_y (the speed of the air perpendicular to the ground, such as updraft or downdraft), but is completely independent of v_x (speed of air parallel to the ground, such as headwind or tailwind).
There are lots of references online on such things. Here's one among many for the math of ROC:
http://www-mdp.eng.cam.ac.uk/web/library/enginfo/aerothermal_dvd_only/aero/perf/climb/. For basic physics, there are lots of books -- just look in Amazon and they will have many. For an introduction to aerodynamics, I like "Introduction to Flight," by John D. Anderson, Jr.