OK so i wasn't going to sayanything before because i didn't think it was related...but
in my 97 cobra after i put the after market radio in, I would loose all sound (i think it was really quiet) and one day i was looking at the amps in the trunk and when i slammed the trunk in frustration they kicked on, I just assumed it was the wireharness i used for the aftermarket radio. I never heard it after i returned it to factory because i sold the car, But if you try it, it might just be a loose wire somewhere in the rear.
They are going "quiet" because the radio pushes some signal through the speakers (by way of the amp) i think just the tweets, so what your hearing is the radio "powering the speakers" and it is quiet becaus ethe factory 460 speakers run a higher impedeance.
So when you unplugged the amp it cut all signal power going to the speakers and shut off, and it reset what ever was causing the problem, going loud again. But it keeps failing.