as I understand from your sentence batteries are not good enough to power amplifiers directly due to high output impedance and noise but on the other hand they're good enough to power an amplifier (stromtank) that is going to power all audio system including the amplifier. isn't there a contradiction here? please don't tell me that stromtank solved the problems of batteries and using incredibly low noise and low impedance batteries. for me they don't.
No, probably a very different way. Most probably use feedback in some way in their circuits, something that can give us an extremely low output impedance. The quality of their mains will not depend on the batteries. But as fair as I know we do not have technical details on their circuits.