In my opinion, what counts as published is what the lawyers can get away with attacking. It's so heavily dependent on whether the publisher or owner of the copyright for the media is litigious. If it's a traditional publisher... will they care enough to look? What will they use to search, your name, portions of the text? Is the place where you posted it googleable? That matters so much more than the "official" definition of is it available on the internet. As far as I could tell from researching it once, if it was on a blog even if set to private, it counted as published by the letter of the definition. But they shouldn't find that.