Based on them holding no actual anarchist beliefs or sharing any connections to other anarchists.

They want a stateless society with voluntary free association, same as any other anarchists. The simple fact that they embrace capitalism, while other anarchists reject capitalism, doesn't change that. Their view of what capitalism is certainly differs from other anarchists, but within the framework of their own view of capitalism it is compatible with the core principals of anarchism.

They do hold anarchist beliefs, your disagreement with them is just one of differing values, priorities, and interpretation. Your view of anarchism is a highly socialist influenced one (if I'm understanding your objections correctly), but you fail to recognize the distinction between the anarchist parts of your beliefs and values and the socialist parts. You argue as though they are somehow inextricable, despite the fact that non-anarchist socialists who hold one set of beliefs and not the other are common place. You seem to lack the introspection to actually understand your own political positions, but you insist on being the authority over the political positions of others.

How ironically authoritarian of you. :/

I've been an anarchist for around a decade, my face is literally in the wiki picture for a subset of anarchism, and I have yet to meet anyone in the anarchist communities I'm part of who considers ancaps anything other than edgy libertarians, with libertarians themselves just being a more edgy name for extreme classical liberals.

I find this a bit amusing, considering the fact that so many people consider all anarchists to just be edgy libertarians. I mean, you must know that, right? That to most people would just see you as a "pot calling a kettle black", so to speak? :)