Power Cables for Class D Amplifiers

Do Class D amplifiers that are very efficient, high power, (ie 600 watts at 8 ohms 1110 watts at 4 ohms) require the heavier lower gauge power cords (10, 9, 8 guage) that we see used on the heavy inefficient high power and high current amps? I ask because the stock power cable that came with my Class D amp was even thinner than the usual stock cord. It's something like a 14 gauge power cable! Is a 10 gauge or lower power cable needed in this ampliifier class as it would be in Class A or AB?