Isolation transformers are used to isolate electronics/ devices from the primary source of power. The benefit of this is that the ground is now independent of everything else so ground loops can go away and short high spikes in electricity do not affect the other side.
In your use, you may be getting some positives from the ground loop issue. Also if you have "dirty" electricity with a high frequency noise in it that is probably being filtered out. A transformer is basically two inductors with a iron loop connecting them to pass the field. At high frequencies inductors act as resistors.
So based on the cable you are using I think you believe in the need for quick clean power to your amp to deal with the high frequency shifts caused by power changes on the power supply in your amp. An isolation transformer will most likely do the opposite, it will not allow the amps power supply to fluctuate quickly.
If you want really clean power that is isolated you would need a bunch of batteries and a really good inverter, much like you see in many high end solar projects.
In your use, you may be getting some positives from the ground loop issue. Also if you have "dirty" electricity with a high frequency noise in it that is probably being filtered out. A transformer is basically two inductors with a iron loop connecting them to pass the field. At high frequencies inductors act as resistors.
So based on the cable you are using I think you believe in the need for quick clean power to your amp to deal with the high frequency shifts caused by power changes on the power supply in your amp. An isolation transformer will most likely do the opposite, it will not allow the amps power supply to fluctuate quickly.
If you want really clean power that is isolated you would need a bunch of batteries and a really good inverter, much like you see in many high end solar projects.