Hellenismos, as a modern Recon Tradition, is young. It's only a decade or two old and while it's starting to get off of the ground and come together, there are a lot of issues which have not been worked out yet. I broached this in my post about suicide and I want to delve deeper into it today. There is a promise of greatness in Hellenismos, but unlike the slightly older Wicca and its younger cousin Neo-Wicca, Hellenismos can't function on a 'coven-by-coven'-basis. This means it needs a doctrine.
The definition of Paganism I use is the one from the Cauldron;
"A Pagan religion is a religion that is not Jewish, Christian, or Islamic and self-identifies as Pagan."
Emphasis on 'self-identifies'. If you feel your practice fits under the Pagan banner, you are free to call yourself Pagan. It's not a protected term like Wicca is, and Hellenismos should be. Above, I stated that Hellenismos can't function on a 'coven-by-coven'-basis. What I meant to say with that is that the few Hellenic organizations there are can, of course, function wonderfully on their own, but they will both be practicing something different; their own versions of Hellenismos which are, most likely, incompatible. They don't form a whole, a unified religion. They would practice on that 'coven-to-coven' basis which, in my opinion, does not work with a Recon tradition.