Originally Posted by m4a1mustang

You could very well hurt cooling by removing the tray. Often times those trays serve dual purposes... they keep debris out of the engine bay and they help create a pressure zone within the engine compartment that will pull in more air than it would without the tray.

But more air to the sump isn't going to do anything. If you are concerned about oil temperatures, get an oil cooler. It's a simple solution and it works.