-So, there is a bit of aluminum tape around the engine mount to try to protect it a little. Previous owner did that and I need to get it off for a look. Don't want corrosion starting under that tape.
On the "cool down", here is my take:
1. at idle, the exhaust gas is cooler; 2. the oil in the turbo bearing is taking heat away and the heat from inside that was built up is radiating out; 3. ALWAYS, every 100hrs, take the oil return line elbow off the underside of the turbo housing and make sure there are no carbon chips clogging it up. It happened on mine. This is the smallest orifice in this line. I was doing 2-3min cool downs and got lots of chips. It got clogged...you know what happens from there... I returned to 5mins and less/no chips. Flat out, I flew two years doing the 5mins, all was well, then went to the shorter interval for a year and got chips clogging. Went back to 5mins and all is well. FYI. (if you ever have turbo problems, Gary Main at Main Turbo is great. He usually has one or two of these turbos on the shelf. They are different than the Cessna turbo in that there is a gnats hair of the turbo housing shaved off to allow it to fit within the engine mount structure.)