"plug Bug" testers are known to lie. I've pitched 2 or 3 of them in my day. You might want to test the tester by miswiring a receptacle on the bench. Regardless, an amp should work with line polarity reversed and as PRR stated, miswired receptacles are common. This is a good argument for leaving "death caps" in a properly grounded amp.
I'm leaning towards an intermittent line short to chassis. It could be (probably) hot to chassis or neutral to chassis (if the user's house is reversed). You've probably ruled out the cord itself since you replaced it. There isn't much connected to the line: fuse, power switch, 120V pilot lamp (if applicable), and the primary of the power transformer. Under no circumstance should you read continuity between the ground and neutral, or the hot and ground. With the switch off, you should read no continuity hot to neutral but with the switch on, you should read some resistance (a few ohms) hot to neutral. Grab 2 ohm meters, tie 1 side of each to the cord's ground pin, one of the remaining to the cord's neutral pin, and the last one to the cord's hot pin. Now grab the amp and shake it, flip it around, and chop stick the line power circuitry heavily. See if you can make it beep. Look for obvious thangs like a chassis screw running into something it shouldn't, or a solder blob under a turret board. Perhaps there is a rogue nut up in the bell of the PT?
If you can't find it, take your lamp limiter with you when you go back to the customer's house. If it blows a breaker with a lamp limiter in line, the you've narrowed it down to premises wiring. There is the possibility his house wiring was done with with 12/3 home runs and a neutral has come loose somewhere. This effectively puts the 2 - 120V circuits in series. This doesn't mean the breaker should trip, but a plug bug doesn't know the difference between 50V, 120V, or 240V. All it know is polarity. Sometimes there's no substitute for a real meter.
I'm still leaning towards a bad power switch, fuse, cord, split wire, solder blob, or messed up primary PT wiring in that order.