If the relay has failed, the oil pressure switch takes over, so the engine is turning before the pump even starts to work, so you'd perhaps never hear it if that was the case. You'd have long starts as well.
My pump is pretty loud (I believe it's 75PSI) and the TPI system operates right about 43PSI, so it's going to tend to be louder than TBI pumps anyways. But I have no problem hearing it when the engine is running. It's a distinct sound.
I'd wire it with a relay, and use an accessory terminal off the fuse block to run it. Probably won't hurt to have it running whenever the key is in run or start, just another power draw if the engine isn't running. With the later fuse panel I assume you have, there should be some accessory terminals that are hot in key in run/start only, and not in accessory.
Fuse the wire from the fuse panel to the relay.