I agree that Flash will remain a major player in online video for a few more years (I also worked at YouTube on the video player team for 4 years). But for everything else it has fallen very much out of favor, hence the strong post title.
Even non-Flash online video has made huge strides in the past year, so I expect that to eventually erode away Flash's grip on that as well. The only real question there is how long it will take to sort out all of the codec issues that are holding it back at the moment.