He did create a threefold repetition, and he clearly did not press the "Offer Draw" button after that point. This doesn't, however, preclude his doing so before that point. The justification in the assumption that he offered a draw is the wording of his initial post -- he didn't say "I had perpetual check and my opponent refused to offer me a draw". It's implied that he offered the draw and was declined -- I feel it's safe to give him at least that much credit.
Bottom line is that I think we can simply agree to disagree. As I said, the measure of sportsmanship is subjective. Yours clearly differs from mine.
It didn't -- but there would really be no merit in the complaint if he hadn't. It's implied, and I'm giving the original poster enough credit to assume that he offered the draw.
Wait a minute. Why are you ignoring my next point: if he had created a three fold repetition and pressed the offer draw button, it would have automatically been a draw. The opponent can't decline. Based on this fact, there's no justification to assume that he offered a draw.