In short. One means no rulers. No hierarchy amongst men. While the other has nothing to do with being an anarchist.

Ancap is a double speak term. And undermines the true nature of what anarchism is.

You can read more at the anarchist library. I have explained much of this already in many blogs before and frankly I do not have the luxury of time to do it all over again.

https://theanarchistlibrary.org/library/ziq-anarcho-capitalism