Actually I would disagree. The term Anarchism is significantly broader than Stateless Societies. Where the first is naming an absence of ruler (or rule), the other refers to an absence of state. The interception between both might be considerable but I would argue the difference is still relevant.
To exemplify my point of view I would note that Anarchism does have a strong relation with "anti-authoritarian" philosophy. There are several possible sources for this "authority" other than a "State". This would include wealth inequality, social bias (gender, racial, religious, etc., discrimination), among others.
If the idea of this community is to explore all of the "faces" of self-governed societies I think the name Anarchism works better than Stateless Societies. I'm guessing it's the very common comparison between Anarchism and Chaos that served as original motivation for a change of name, but it seems to me that a disconnection with the historical background (admittedly quite colorful and sometimes giving rise to contradictory social ideologies) will prove detrimental in the long term.