First of all, thanks GGTharos for your valuable feedback and precise analysis.
I have flown Mig-21, F-86, A-10A/C, F-18, MB-339, F-14 lately. I still don't master those great modules, but I'm slowly learning step by step.
I tried again, this time re-binding my hotas and rudder as before the reinstallation, and it felt natural, as it has always felt.
I don't know what solved that strange behavior which, I have to admit, in the video evidence seemed to be caused by the forced AoA (I can't fly using keyboard, that's why I flew ham-fisted), but in those conditions I really couldn't fly the F-15 as I used to do, even with my Hotas.
I knew about the aileron-rudder interconnect, but I imagined it as a subtle interaction: so, my fault for the lack of "situation awareness" in the F-15 after a while I didn't fly it regularly
Problem solved then!