The results of a calculation (what you call maths) is only as good as its data. Also there are equations and equations. Some are highly approxamtive and only thump rules for quick estimates, others may be closer to reality but also very complicated and requiring a lot of divers input data.
I would agree to use mathematical relationships to deduce aircraft behaviour if we had enough reliable data or data at all for input into the equation and some reliable data to verify the results.
My guess is the data we would need to calculate it is not available. I mean what would be great if we had all the aerodynamic coefficients as a function of Mach number and angle of attack and the corresponding reference area for each plane.
"Equations" deducing turn performance from the wing loading, sorry, this is far from anything near accurate. I would not like to have the fm built on this kind of thump rules. Then I'd rather prefer anecdotical evidence.
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