I think there are a few possible distinctions.automotive or automobile industry?
any difference?
The one I favour is that automotive industry is involved in the design, manufacture and selling of any type of vehicle, whereas automobile refers, generally, to road vehicles (cars, trucks, motorbikes).
Automobile can therefore be considered a subset of automotive.
However, others might see the difference as being that the automobile industry is the industry that deals with the finished product (the car - so would include garages, fuel stations etc) whereas automotive is involved in the creation of that car (and other vehicles).