Anarchism says, in effect, there is no such upper case, dominating ideology. It says that people who live in liberty make their own histories and their own deals with and within it. A person who describes a world in which everyone must or should behave in a single way, marching to a single drummer is simply not an anarchist. A person who says that they prefer this way, even wishing that all would prefer that way, but who then says that all must decide, may certainly be an anarchist. Liberty is liberty.
Anarchism is anarchism.
Neither is Swiss cheese or anything else. They are not property. They are not copyrighted. They an old, available ideas, part of human culture. They may be hyphenated but they are not in fact hyphenated.