The price in this issue plays not a large role whatsoever.
First you need to know what manufacturer suggests or how the powercord was built(I think for $1k you should!).
For poweramps usually high-gauge shielded powercords are better to filter large fluctuation currents that greatly affect high-gain amplification stages. Shielding adds an extra capacitance and inductance but for high currents flowing they only slightly deviate the overall impedance.
For small signal components you need as newtral as possible so that you have in ideal case the resistive impedance.
First you need to know what manufacturer suggests or how the powercord was built(I think for $1k you should!).
For poweramps usually high-gauge shielded powercords are better to filter large fluctuation currents that greatly affect high-gain amplification stages. Shielding adds an extra capacitance and inductance but for high currents flowing they only slightly deviate the overall impedance.
For small signal components you need as newtral as possible so that you have in ideal case the resistive impedance.