I think that the capitalist part of anarcho-capitalist implies minarchism, as how can you have capitalism without private property?
The "anarcho" part means no government. The fundamental thesis of anarcho-capitalism is that private enterprise can solve all the problems that government currently is tasked with solving, including private property, defense, law enforcement, punishment of wrong-doers, consumer safety, charity/welfare, etc.
I'm not claiming any authority over the term "anarcho-capitalism," and you can use it however you like, but I have read a lot of works by people who are widely considered to be pivotal to anarcho-capitalism, and I've been somewhat active in several online communities that call themselves anarcho-capitalist, and I am reasonably confident that your usage is incredibly non-standard, and that very few people who are aware of the term would use it to describe minarchists.
Really? You or they must be using the term "anarcho-capitalism" in a non-standard way. In the standard usage of the term, the whole point is to be distinguished from pro-government libertarians and minarchists who believe that there are a few legitimate functions of the state. I've never heard anyone use the term to refer to an ideology that accepts any legitimate functions of the state.