All 84 T/As had the turbo/cowl induction/power bulge hood. I used to think that only the H.O. (L69) cars had the functional cowl induction setup, but recently I learned that LG4 cars could have it also. You should check out
www.earlythirdgen.com too if you don't get the answer you need here. There are lots of guys that are very knowledgable there about specifically 82-84 firebirds. There is probably a specific RPO code associated with the functional cowl induction setup that would be on your Service Parts ID Tag located on the inside of your center console lid and those guys would know it.