The later 3.0's don't have that smaller hose - it's a different system. The valve is opened by pressure from the air pump and not a vacuum solenoid like in the earlier system.

You can test the valve by taking it off the car and blowing through the big hose port. If you can't the valve could be stuck, and you might be able to unstick it by cleaning with carb cleaner or the like.

The air pump should come on for the first 30 seconds or so after a cold start. If you disconnect that big hose and start the car from a cold start, you should feel a big rush of air come through that hose.

The only other component is the mass air sensor on the filter housing at the other end of the big hose/air pump. If the filter's clean and everything else checks out, that's likely your problem. INPA can tell you for sure - just activate the air pump test and you should observe airflow on the sensor reading. That was the problem we had on our '05 - the sensor wasn't reading any flow. Replaced it and all good on that code since then.

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2012 xDrive35d
2001 BMW X5 3.0i 5MT
and two 1987 Corvettes - Callaway Twin Turbo and Guldstrand Grand Sport 80
Block Tester