y is the handling better on a car with 15s n a large profile tyre, than 16s with a low pro... ie the overall size/circumferance etc is the same??? [when they are both lowered]
The ride would be better on rough surfaces with 15" wheels because of the taller more-flexible sidewall, plus the wheel and tyre combination would be lighter, reducing unsprung weight.
But I'm not sure that most people would agree that the handling was better. Handling wouldn't be as sharp with a 15" wheel because the taller sidewall would flex more. And grip wouldn't be as good because, even if its the same nominal width tyre, a lower profile tyre puts more rubber on the road.
As to why they run the 15" wheels on the race cars, the benefit of bigger diameter wheels is fitting bigger brakes, and the disadvantage of bigger diameter wheels is that they're heavier, cost more and there's not as good a range of tyres available, so if you're running a class that's based on standard cars and requires running standard brakes there's not a lot of point in choosing larger wheels.