@thecarpathian
"Doesn't amperage play a part in this? I also don't see the correlation between changing the power source with changing the power cord"
Many of us have to make do with 240-Volt mains supply, so already need less than half the amperage of the 110-Volt crowd!
I am proposing an experiment where an AC mains power supply (which happens to be external to the transport and converts AC to 12-Volt DC) is replaced by a 12-Volt battery. The AC power cord is not just changed, it is completely removed. The mains AC, with all its alleged noise, is also completely removed. If need be, the battery and the low voltage cable can be shielded by a Faraday cage.
12-Volt Amperage consumed by the transport would be unchanged, and quite small.
Personally, I would expect the output from the transport, as delivered via HDMI, to be indistinguishable at the bit level. But there may be an impact on other components from the removal of the wall wart (switched mode power supply). Not bought from Walmart!