As long as you don't have an emissions test. Because that O2 converter is going to only do 1/2 its job. Air is injected to the 2nd half of the dual bed converter for the oxidizing part of the catalytic converter operation. The system injects air to the exhaust manifolds during engine warmup and when the engine is in open loop. It will also divert to the air cleaner when rich conditions, high vacuum during deceleration, high rpms, and when you throw an ECM code. Obviously, you don't want fresh oxygen in front of the O2 sensor, that's why it is where it is.
There's also your switching valve that during normal operation in closed loop, sends air to the cat. It also can swap to send that air to the exhaust manifolds during cold engine startup and any time you're not in open loop for whatever reason. If the valve leaks by during closed loop to start bleeding air into the exhaust manifolds when it shouldn't, the O2 sensor will react to the extra oxygen, see that as a lean signal, and richen up the fuel mixture when it doesn't really need to. This can result in higher operating temperatures for the cat, which isn't good.
The AIR system is designed to balance itself as it operates and everything in the system must be in tip top condition to work properly. The air pumps themselves are sealed and no lubrication or maintenance required. So when they give up the ghost, you have to replace it. Same with the plastic switching and diverter valves. There are check valves that often burn out and allow exhaust gases to get back into the AIR system. This isn't good either. If your AIR hose connected to the top of the check valve is hot to the touch where it hurts, or you see melted rubber, then change the check valve. Sometimes you'll hear them ticking and sound and can zero in on it. They don't last forever.
Generally speaking, I've seen too many people that don't understand the CCC system, thus they can't fix it when it messes up. 99% of the time, it's a bad sensor, shorted or broken wire. But they rip it out anyway, then wonder why their car doesn't run worth a crap.