The best thing you could do to answer and permanently imprint the effects of side force generators, would be to buy one of th funny little electric biplanes George Hicks designed a couple of years ago .the TENSOR 4D
These had huge innerplane struts and a wildly exaggerated fuselage section between the wings
In flying these - it becomes instantly apparant that sidewise tilting of the wings changes nothing-- banking does not cause a turn
Effectively the plane is a crucifix design.
same lift in knife edge as in level flight
further - the fore/aft lateral area is well balanced - - the plane does knife edge flight by simply rolling to knife
IF the cg is too far forward -it dives - too far aft it climbs -- all, in knife edge.
a picture is worth a million words in this instance .
much of the accepted theory of conventional aircraft seems to go goes right out the window after flying this type design.
The addition of the force generators to otherwise connon designs, simply makes a hybrid , of the conventional and a unconventional approach
the true rules of flying don't change -but your understanding of them will likely become so