On my model IV I regularly drop the bottom cowl with the two pieces attached. As far as the top, I usually remove the front piece first as it would only be suported by one camlock if I did them together.
If you are thinking you could get rid of some fiberglass by getting rid of the flange that the front two pieces attach to, you would lose a lot of rigidity and I would think when you remove the cowl it would behave like a wet noodle.
I like that it's easy to pop the front top piece off. Yesterday I had to adjust my idle stops and easily did it by doing just that.

If you go ahead with it, post pictures !

JimS