I hadn't thought of that and its interesting. One thing to remember is that you cannot force air into the engine. The engine is like a lung, it will only gulp as much air as it can utilize. The best you can do is make sure there is the least amount of obstructions in the way of gulping air and that the air is as close to ambient as possible. Whether your idea will help or not, I am honestly not sure.
Here is a good summary of the entire stock intake system:
http://vps2940.inmotionhosting.com/~spyder5/forums/showthread.php?29804-Stock-Intake-Dissection
Some things I'd also look into for stock airbox modification:
-Removing the sound wall located inside the top half of the stock airbox, you can see it in one of the pictures.
-Insulating the stock airbox by putting insulation on the *inside* of the airbox.
Example:
http://www.s2ki.com/s2000/topic/780806-stock-airbox-mod-inquiry/page__st__25
Here is a good summary of the entire stock intake system:
http://vps2940.inmotionhosting.com/~spyder5/forums/showthread.php?29804-Stock-Intake-Dissection
Some things I'd also look into for stock airbox modification:
-Removing the sound wall located inside the top half of the stock airbox, you can see it in one of the pictures.
-Insulating the stock airbox by putting insulation on the *inside* of the airbox.
Example:
http://www.s2ki.com/s2000/topic/780806-stock-airbox-mod-inquiry/page__st__25