The results only show marginal improvement.The improvement is far from marginal. In particular:
... I just tried to link you to a BPG image, and discovered that I can't.
Well, I'm going to ignore that little flaw for the moment, because that's just a browser feature. If BPG catches on, that's sure to change.
Anyway, the improvement is far from marginal: http://a.pomf.se/cdywsc.png
In particular, look around her face, eyes, and the background. The JPG is not just worse, but in fact very worse.
A more serious flaw is that it doesn't support animation. It doesn't need to be a video format. It just needs to be able to play a sequence of frames in succession. This is as easy as including a header that specifies how many frames are in the animation and the duration of each frame, followed by the image data itself. The fact that PNG doesn't have this has plagued the format since the internet became popular.
That may seem like "a video format," but it's not. Video decoders optimize for inter-frame compression, not intra-frame compression, so it's a different problem altogether. BPG doesn't need to do everything, but it should probably have basic animation.