Sounds as if the permanent live isn't. If you get my meaning.
You need to use a circuit tester to check that it really is live, even when the ignition is OFF..........mine is wired into the hazard light switch, easy enough to get to and a definite permanent live.
As reagrds the volume of the beeping, no, afaik, you can't turn it down, but it shouldn't beep unless the ignition is on, engine NOT running. Once the engine is running, the beeping should stop.