ummm.... I kind of see it, but I don't see where the animation stopped being fluid. Like you pointed out with Jet li (Bruce Lee?), you only have so many frames to record stuff in a second, and in order to show quicker movement, you have bigger differences between frames, which is what you're seeing.
In order to show the girl to be moving around a bit frantically, they make the changes from frame to frame bigger. Even then, the movement is very fluid and realistic.
You'll have to be more specific as to what you mean with "disconnected animation"
The reason why that FMA gif you posted looked very smooth is because they upped the frame rate for that fight scene. You can really tell with how fluid the whole scene looked. I think, normally, animation is done at 20 frames per second. TV, i *think* refreshes 24 times a second. not sure about that, though. But if you up the FPS, you obviously get a smoother animation. In order to achieve the same effect without upping the FPS, then you resort to bigger changes between frames...