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You may see some improvement due to the opening slot in the airbox lid being bigger, but the rest of the box and airbridge will bring you nothing. Airbridges are a visual mod at best.
Add the Z06 airbox lid with a K&N filter and you will start to breathe better, and your throttle response will be better.
You can add the airbox lid, I did to my 1998, you will see some improvement in horsepower (small), throttle response, and it will sound better. The four air holes on the 1998 air box cover are very small.
I'm not sure the air bridge will bolt up, the throttle body may be a different diameter. The air bridge would not IMHO make any difference anyway.
You can buy the lid from any Chevrolet dealer that sells Vettes. Mid America sells the lid and K&N together as a "kit" if I remember correctly. Fred Beans (supporting vendor) may have the best dealer pricing!