@clearthinker those pre and phono amps used batteries build into the units or connected to a DC power inlet. That is different from using a cheap AC inverter running from batteries. I could word that differently. A cheap, high powered switch mode power supply.
The conversation has degraded to burning in AC power outlets. I think we have lost the plot on the conversation already. The op has not even verified there is a problem yet, but everyone is rushing to solve it without even knowing if there is a problem, or what it is.
This is what the inside of one of those low cost inverters looks like: http://www.kerrywong.com/2017/10/01/teardown-and-testing-of-an-800w-puresine-inverter/ It is a high frequency switch mode power supply that generates the high voltage (~170V) and then a PWM stage, and then a filter. I don't see a lot of capacitors or filtering on the DC side, so there could be RF coming out. I don't see any FCC on most of these. YMMV
Old school ones with the big huge transformers are probably not as noisy.