There are many posts here that assume that small tube amps don't need a heavy power cord. Nothing could be further from the truth. I hooked up a 6 wpc tube amp to a stock 14 awg power cord and was disappointed with the bass. Assumed it was just a fact of life with a small tube amp. a few days later a friend suggested a heavier power cord. I didn't think it would help but had one available. I was shocked.
Bottom like, the power cord supports fast changing dynamics such as bass notes. tube amps often don't have robust power supplies that can supply this ready power and must reach back into the power cord. OTOH, if your amp has huge caps in the power supply, you may not see much difference.
Jerry