Of course you can eliminate the prop - as I agreed earlier. However, that has it's own cost; it probably doesn't eliminate jello wobble from vibration (evident in the wildcats footage), or if it does, it will be at the expense of blurring the image. You can either capture motion (not that anyone really wants the prop), and put up with the artefacts, or blur out all the motion.
Personally I find that whole family of artefacts extremely irritating, but maybe that's the photo/video nerd in me. There's also the point that shutter priority video is a pretty high end feature. End of the day, you pay your money and take your choice.. I wanted a global shutter on my compact still/video camera.
Completely agree wrt vimeo.