There is an adiabatic temp increase, when you compress a gas. That is the law of physics and you cannot change that.
The temp of the air going into the engine is the starting temp before the compression. Getting as cool a source of air as you can find is very important and I think, the most overlooked.
Then there is the heat that that is flowing into the air from the engine parts. This is what you are talking about. Anything you can do to keep the combustion chamber cooler will help. I have read some after-market block have improved cylinder wall cooling. Chrysler sprays
oil on the bottoms of the pistons on the new big Hemi to keep the pistons cooler.
Bottom line there is likely something to be gained here, but I would think the racing fellows would be all over it.