As with any car (and any question for that matter,) it DEPENDS. Just because a car has a turbo doesn't mean anything. Also, Subaru, for the 2011+ turbos, has revised the OCI to 7,500 with synthetic being the only requirement. This seems foolish to me, since cheaper synthetics will NOT stand 7,500 miles in all applications. Heck, Amsoil barely made it ~7,500 miles in MY STI this past winter. Foolishness aside, it is possible to extend past 3,750.
I run extended drain intervals on my '08 STI, as do others. Do so only with a used oil analysis to back it up. used oil analysis cost money, however, so if you're looking to have peace of mind with out spending any additional effort/time, then stick with Mobil 1 Extended Performance and your ~4k intervals. If you happen to go to 5k or so, don't sweat it, either.
I will say that, with so many miles on an '08, I can only guess that you do a lot of highway driving. If so, then you're probably changing your oil fairly frequently, and there could be time and money saved with extended drains. Even if you don't prefer to send out a used oil sample for analysis, I'd suggest you extend out to around 5k intervals, as long as you don't do any high-performance driving, such as auto-cross, track days, HPDE's or rally-crosses. Most people who own WRX's and STI's will say they drive aggressively on the street, but unless you're THAT GUY, driving around like a maniac, your oil temps won't remain high enough, IMO, to degrade the oil like an extended high-RPM track day would.