I've done that, but it still pings every Bluetooth connection it sees, whether it recognizes it or not.
Her car had some class-action lawsuit recently because its integrated satellite radio service was constantly pinging for a connection, whether you had the service or not. If the car wasn't driven in a few days, the battery would be completely drained. And you couldn't jump it yourself; it had to be towed to a shop so they could use some special machine to jump and charge it.
That issue has been settled, but now its Bluetooth is basically doing the same thing. Fortunately only while the car is on, but still.