Research is needed to make sure that, on a Nikon 80-200, that the lens's rear element does not make physical contact with the front elements located inside the teleconverter's barrel. You can search around and find posts done by people with your lens and specific converters. Kenko used to have a regular and then a "pro" grade model.
My guess is that Gary's 2x converter sample was made with a 300mm prime lens, not a zoom. "MOST" 2x converters have pretty severe quality loss issues when used on zoom lenses. Still, on subject matter where the subject is in the center of the frame, and the edges of the frame are open sky, or open water, or are obscured by panning, or are wayyyy out of focus, the loss of image quality away from the center might not even be noticeable. The motorcycle panning shot above is a good example: there's no detail even in focus away from the centrally-located rider, so it doesn't matter how the corners look. Same goes for bird photos in many cases; central subject, background/edges of no importance, or not even in-focus (sky backdrops, water backdrops, for example).
OTOH, I bought a Nikon 2x AF-S converter a few years ago. OMG, it was soooooo bad on my 200 and 300 primes, and on my 70-200 VR that I returned it...I just saw some of the tests from it the other night as I was searching for some old photos. WOW-it was utter GARBAGE! it was used...perhaps it had been damaged, but it was ***horrible***.