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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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. 
I've heard some owners of the Shunyata Research Alpha NR power cord that run class D amps say that it did lower the noise floor allowing more detail and resolution to pass through.
Personally, I have not tried it yet but perhaps in the future.
Seems like a large amount of money must be spent for a small margin of improvement, and it always seems to be that way with high end audio.