UPDATE 1: I went to the dealer and they looked over the oil cooler and the rest of the common areas that leak. They confirmed what I already know and they told me that they have to follow a repair procedure for the oil cooler leak issue. The first step is to replace the gasket and two O rings. If that fails, then they replace the entire cooler. They don't have to empty the oil pan and they always place Mobil 1 in Camaros and Corvettes. They estimate that they will spill about a quart of oil during the process.
I go back next Monday for the gasket/O ring replacement. They told me I could wait for the repair to be done. They estimated about an hour and a half. I'm sure some of this time is to allow the car to cool down some before starting the job.