Well too bad Beamr never made that claim (AFAIK). What Beamr does claim is that their software can automatically find settings (per frame) that will compress a certain video file to it's smallest size without affecting quality (too much - in some subjective measure).
I'm not saying that Beamr is great. I have no idea, I've never used it. But what I can say for sure is that Daiz has not made a fair evaluation of the technology in the OP.