f**k me, I thought you were sensible.

No it's not going to do much at all.
It already has "air" in the airbox. It get's it from the engines vacuum. This motor would generate loads of heat so it would have loads of hot air in there and it could REDUCE airflow.
The airbox wouldn't hold any pressure so no forced induction. It wouldn't work. I see what you are getting at, cold air feed at standstill, well a heat sheild'd induction at the front could do this but it's pointless.