Air has plenty of mass, tons and tons of it actually (depending on prevailing density).
I am so very sorry to report that in no way, no chance and no possibility can the effect of a turning RR or any vehicle designed for road use, turn with such speed as to affect the trajectory of the blown airflow.
IJust to clarify my position - my day job is to design parts of Gas Turbine Engines, I spent a good number of years (and plenth of my parents money) at College and University studying Aeronautical and Areospace Design Engineering which included among many modules, Thermodynamics and Aerodynamics.
When I went on to my Masters, I choose to specialise in Propulsion Technology, which is centred around Thermodynamics, Thermofluids and Computational Fluid Dynamics.
I spent a long time watch and learning airflow patterns, predicting Aerodynamic conclusions and understanding the principles of motion and flow.
I do not wish to undermine your results but I am affraid there is no way on earth (or space for that matter) that a cornering vehicle can give the results you indicate, could it be that when corenering, your natural body position will shift to rebalance yourself in the seat (due to your famous inertia) and place you closer to an air vent hence why you feel a change in percieved air temperature...??