Type A, B, etc mainly refers to the face of the wheel and sometimes spoke curvature/dish, where certain types are designed to clear big brakes, while others arent.
A lower offset putting more strain on the car doesnt make any sense. Perhaps more strain on the wheel itself if the offset is something mad like -20.
The way I see it, the only way a lower offset can affect performance is that the wheels sit further outwards, giving the car a wider base, making it more stable, sorta.
On a side note, for those offsets you're gonna need guard work or some massive camber.