Any 2008+ STI will have the 11mm pump. We use them exclusively on all engine builds.
That said - the horse has left the barn so-to-speak.
All of the pumps are going to produce about 90 psi on cold start. An EJ engine with good clearances will be about 20 to 25 psi at hot idle.
The idiot light comes on at a ridiculously low 4-6 psi.
This is a common misconception - oil pumps produce FLOW and the size of the pump dictates VOLUME.
PRESSURE is a function of resistance to flow. What you have is a lack of pressure and thus a lack of resistance to flow.
In every case I have ever seen this is due to significant wear in the main and rod bearings of the engine. The rod bearings we all know about. The mains get "loose" over time - especially the #2, #3, and #4 mains due to crankshaft deflection and compression of the cast aluminum block.
Replacing the pump will not likely do much good for long. You can try. I would also switch to 20w50 on this engine to increase the idle oil pressure. I have seen borderline engines bump up 10-15 psi from thicker oil.
Keep it cool and be gentle with it. It may last a few more seasons.
GD