Thanks for taking me for an idiot.
So, if you want the explanations, it's not what you wrote as the 4 coils are especially designed to have the two P-Bass pickups types, plus any J-Bass configuration (parallel, series, outer or inner) or anything always hum-cancelling plus the 4 coils wired in parallel or series, or 2 coils in parallel and 2 coils in series or the opposite, so a real 4 coils pickup, sorry.
These Quad Coil pickups are in fact very versatile and have ... 4 coils.