Can a power cord increase the resolution of an Class D (SMPS) amp by more than 5% ?


5% in relation to a stock power cord.

I can’t really trust dealer comments. I am more interested in reports from audiophiles. 
Whats your story? Did you manage to increase speed and resolution of your amp ? (without losses in the bass area)
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I hear better tone and fullness with some good power cords on Merrill Thor amps. They can make a difference. 
As much as I dislike the crazy expensive over the top cables, replacing the stock cord with a $30 OFC cable (BLE Design on ebay) will bring an improvement.
Never improved the speed. It did lower the noise floor allowing more detail and resolution to pass thru. Stock cord supplied by Theta replaced with Transparent Reference PC.