I don't think it is listed as a Faith. Ideology, yes. But that is neither a religion or Faith.
The only real references to TEA being believed in as a Faith is during the time of Guild Wars 1: http://wiki.guildwars.com/wiki/Eternal_Alchemy
Are these reference personal? As in are they referenced in the assumed personal view of a character? If so, they do not matter.I feel like the way it's done in game the difference of religion or not religion is sort of moot.
The Eternal Alchemy is simply not a religion or worshiped otherwise.
Edit: The Eternal Alchemy is not a science either. It can best be thought of as we would think of like; Middle Platonism, Hard Determinism or Open Theism. Which are not religions either, or Faiths. They are philosophical ideologies.
There is a huge difference in faith and belief.