Smart boy... that forum would be the Wild West.
For books, I consider an ISBN or LCCN number to be the difference between "published" and "formally published". Either profitable or vanity press books, self-published or via publishing company, can achieve that for credibility. On the internet, or corporate publications, "published" becomes quite a bit more open-ended. If it's printed or made publicly available... it meets the generally-accepted definition of "published".
Those qualifying words you propose... are a value judgement for the most part. I'm not sure that I can agree with them. "Juried" has its own connotation of credibility over-and-above mere publishing, as in academic journals. "Selected for award" means it was a good/great publication, but crap content (and there seems a lot of that) that was published was still published. The amount of money a book made has nothing to do with its publication status. But I see where you were trying to go. I don't think the concept is quite ripe yet.