Only difference is the stranded will be more flexible, which is nice to have if you are using 12/3 or larger wire.
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Solid core powercords will tend to have more impact and punch but the larger gauge cords can become very unwieldy. The higher the strand count the softer and less aggressive the presentation will become.
BTW people like to give advice w/o actual experience regardless of edu. background. John Curl being one who recounted many, many years ago his eyes being opened by one Mark Levinson as prior he had dismissed the notion of premium part, wire, etc IIRC