what kind of oil cooler setup are you going to run, stock or aftermarket?

If it is aftermarket, normally they have a thermostat which only opens when it reached a certain temperature to help the oil get to the correct viscosity quicker. This also helps prevent the oil draining from the oil cooler when cooled down. So it would not hurt the oil pump.

If your sandwichplate does not have a termostat valve in it, you can get an external one through rocket industries for around $100 i think.