... Reason for this fiasco is these are 12 amp modules. ... and noticed the 12A module has .11mH chokes whereas the 3A module has 2.5mH chokes. In fact the larger the amperage the lower the mH rating for these products. Would it be better to have bigger chokes on the line? ...
How much current does the amplifier draw? Probably 3A or less, right? It seems silly then to try to acquire the higher-amperage models.
I didn't know the cords would be different, but it makes sense if you think about the fact you're going from typical "consumer-size" to a current rating similar to the wiring in your wall.
Assume the people designing those power entry modules know a bit more about the design of their product than you do. I'm sure that whatever value chokes and caps they use will be appropriate to the task. In all likelihood, the values of those parts are scaled to each other, and probably to the line frequency. There's likely a number of other tradeoffs as well.
Reason for this fiasco is these are 12 amp modules. Convinced, right or wrong, that a bigger module would be less likely to have problems when I bought them. ...
Would using 10 gauge wire through the amp in place of hookup wire make it any better? Probably wouldn't be as easy to work with...
I went through a period of this same thought process when I started amp tinkering. "It's gotta be better to use 1w resistors in place of 1/2w, right? If 1w is good, 3w is better, right? What about those 25w aluminum-clad resistor for cathode bias?" Over time, I learned it's cheaper to use just-good-enough parts, and in some places you want the $0.50 resistor to burn up and fail rather than the $150 output transformer.
So
Right-Sizing is often better (and cheaper) than over-spec.