Here'* my 2 cents:
I've got an '96 Olds LS (A twin sister to the Bonne.) It'* got the regular Series II 3800.
I took the screen off and felt it made the car a little peppier, and if anything, increased the gas mileage. Then I removed the resonator thing right before the air filter, and that helped even more. I've driven the car for 5 months, and until I saw this post today, I had not thought about it for weeks. This past week, we've had temps below 10 (Farenheit for you Canadians) and it runs great.
Just take it off (The screen that is...) carefully, and see what happens. Worst case, you just put it back on and no harm done.
In my layman'* opinion, it HAS to be an improvement over keeping the screen on because the throttle body can flow more air.
Plus it gives the engine a little bit of a growl on acceleration... kind of reminds me of highschool days when we used to flip the aircleaner covers on our GM cars and trucks.
Remember doing that?!