As a tech for over 35 years myself , I have grounded these amps , a real tech ALWAYS , finds a way to ground ANY piece of equipment they work or they will wind up DEAD
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Well, if you are grounding these kind of amps (widow makers) without using an isolation transformer that is just not safe. Roly has explained why.
You said that an isolation transformer is "not absolutely needed". That is wrong and unsafe.
Maybe you could explain why you would want to short cut around the safety that an isolation transformer provides? I'm sure you are aware that such an amp would be illegal to build and sell today due to safety reasons.