Question for Atma-sphere, will expensive power cables improve your amplifiers?

Some of the power cables I've seen pictures of are really thick and exotic looking. What could those manufacturers be doing in those designs? Are they adding capacitance or inductance that affects sound? I think most posts on this thread are just concerned with voltage drop so if you have proper gauge, that shouldn't be an issue. Most of my big class A/B amplifiers draw well under 6 amps so 14 gauge, 6' power cord should cover my needs.

Some years ago, I had a Bryston 4BSST2 amplifier that would occasionally go out on a safety fault. I contacted Bryston technical support and the first concern they had is if I was using a non-OEM power cord. They explained that some of the "hopped up" cords could cause that condition and really frowned on the after market cords. It turned out to be a ground loop but I found the manufacturer's concern interesting.

No, they did not explain exactly how it would cause that. They did ask for a good description of the cord and wanted to ensure it was a Bryston OEM cord. That's why I was wondering what the exotic cords to to the AC signal that could create an issue e.g. greater capacitance or maybe a lot of inductance?

I'm not atmosphere, but I'll take a stab @immatthewj question:

Standed wire in cords allows it to be flexible cord. If you used one solid strand of copper, it would be inflexible and prone to damaged if flexed too much. single strand in the walls is fine because it is a permanent installation and not subject to flexing.