Mapman, the reason the amps are ruled out is because the bass can come back without shutting the amps off, in fact can come back without the system being messed with. It comes and goes.
If the amps were the problem, once they had warmed up the bass would be gone for good. But its not.
My suspicion is that a digital product in the system is having an intermittent problem and affects the ground of the system as a result, such that the chassis of everything is coated in digital noise, so to speak. If it were me I would unplug all the digital stuff (CDP and video) from the wall, then run the turntable and see how the system holds up.
I agree with Tls49 about the conditioner. IME its rare to have good experiences with them and amplifiers- they might work OK on the rest of the system but the amp should plug into the wall directly.