I have an '08 STI - same car. The dealer near me uses Cheap, bulk Cam2. One of my first oil changes was this since they owed me a free oil change, and the used oil analysis looked fine after 3022 miles, though TBN was nearly depleted at 2.6.
Subaru changed all TC cars in their line up to the severe service oil change interval of 3750 because of issues with a turbo oil supply screen that was clogging, causing turbo failures. With all of the opinions online, it's tough to get the right answer, but, from what I've read, the screen has been removed from (at least) the '08 STI.
The dual AVCS (valve control) feed also has an oil screen that can clog, though this won't hurt the engine, and I think there's a MIL code associate with AVCS malfunctions, IIRC.
I don't agree that TC cars require synthetics. A synthetic may degrade more slowly due to the higher temps, but that's not to say, IMO, that an oil like PYB can't hold up to the Subaru-recommended OCI of 3750 just fine. I think the requirement for synthetic - NOT Subarus requirement or recommendation, btw - has always been propogated by those who don't know much about oil. If you hear it from enough of your buddies you assume it's true. I'm not saying any of the above posters know nothing about oil, but hose who have told me I HAVE to run Redline or Royal Purple at the hobby shop sure didnt.
As far as cool down times, this is always a good idea, tough Subaru does not require you to cool down the car. The turbo is oil and water cooled, and the water will continue to flow through natural circulation even after you shut the car down. I rarely go from hard charging to fully stopped, ready to shut the car down, and I'm not sure when this type of drivng would take place for a normal commute. Unless you rally the car or perform and endurance run, the minute or so that we usually drive in 25MPH in the neighborhood or in the parking lot at work gives the engine plenty of time to cool down. Despite what I just typed, I do tend to let it "cool down" for 10-20 seconds if I drive moderately and park at the store, even though it took me a minute to find a spot. Force of habit, I guess.
Cool down times and oil are like anything else - most will just do what they feel comfortable with, and most STI owners spend tons of money on oil at 3kmi or less OCI because, "why would you NOT do that with such a highstrung 4-banger?" I change my oil based on UOA, and so far that's up to 7k using Rotella T6. I have 19,500 miles so far.