Anarcho-capitalists don't see capitalism as a power structure though. They see it as something natural that emerges organically, without it being imposed on top. They argue that, for example, markets appear in failed states, they emerge even when the states try to suppress them (black markets), and they're a natural outcome of different skills and needs. So it's not a power structure any more than say, mountains are a power structure, even though some people can exploit mountains pretty effectively to gain advantage.

That’s an interesting point, my only immediate thought is that markets and capitalism are two entirely separate entities. Capitalism gets a lot in free credit (no pun intended) riding off the coat tails of market economics.

In short, capitalism is paying others to do your work, but paying them less then the value they produce. Not an attractive proposition since it always trends towards Foxconn without a mechanism to counteract it such as a union.

A market can exist without that, bartering is all you need there.