Air management Valve issues

If your refering to the secondary air injection diverter valve then no. I possibly need one of these myself....It sounds like you have some other serious problems going on. The diverter valve provides enrichment air to the cats when the car is first started to get the cats working faster. The diverter valve is vacuum controled by a vacuum switch which is controled by the ECM. And supplied air by an electric air pump. I just replaced a failed vacuum switch. Cleared the code for a week and it came back. 0411. You can "turn off" the secondary air system with a tuner. And clear the code. But causing the drivablity problems yor describing? I cant see how. My 97 runs fine with it disconnected-just throws a code. It will cause the car to fail an emmisions inspection...
However, if the diverter valve completly came apart, then you could have an opening to the exhaust system, but you would hear that immediatly. It would make a lot of noise. The emmissions manual gives a proceedure for checking the valve...it calls for a plugging the tube going to the exhaust manifolds when its disconnected from the diverter valve for testing. So you dont have exhaust blowing up at you when running the car. I guess that could cause some drivability issues but I cant imagine it would be that sevear. Maybe post a picture of what your calling an air management valve?