Was the difference worth the cost for you? Only you can answer that question. Same for every other individual that is inclined to be frugal or go big $ with their system. Broad generalized statements that cables make a huge difference or can't possibly make a difference are worthless.
Similarly, extrapolating and extending must include all the variables involved when comparing which AC cable is used in audio versus another application. No doubt Audio Precision power supply, filtering, grounding, shielding, components, construction, etc. are designed to handle the good, bad, and ugly AC power. All Audio components are not necessarily designed to the same standards. Different AC cables may, emphasize may, make a difference in the audio realm.
Refer to the work of Galen Gaeris to learn the science involved in cable design. Reviewers and other opinions based only on R, L, and C only scratch the surface. Everyone does not need a cable designed by Galen Gaeris. Neither is it correct to say there is no difference in cable performance.
Try different cables, or not. Just don't claim what worked, or not, for you can be universally applied to every other situation. Same for reviews or measurements - no universal truth to be found there.