I have zero knowledge of that system on the 2010, but I am very familiar with the same system/s in the 2004 2.3 engine and thru 2007 2.0 Duratec engine.
Your part descriptions and vac testing has me a bit confused. I will not ask you to help me learn about the 2010 version of this system.
Adding to what AMC49 said:
If like the older cars (2004-2007) the IMRC Solenoid/s are always powered (12Vdc) and are controlled by a "controlled ground" via the PCM/ECM.
I want to caution you; please do not replace the PCM/ECU until after you have performed some "end-to-end" wiring checks (and some misc other checks) by using a meter and the 2010 wiring diagrams.
My first guess is that you have a vac hose leak DESPITE the external vac test equipment that you used. Did your vacuum test include all the vac hoses in this system? I know (first hand) that some vac leaks can be hidden from the naked eye. Some vac hose damage is only seen once the hose is removed from the car; to release & relieve the hose of its' typical old positioning while installed in the car.
Always check your fluid levels, -then check your car.