Ditto what everyone has said here, but one thing I do on my 200-500 is not zooming out to the full 500mm but keeping it a bit less, like 460-480 which seems to sharpen things up more than when fully extended. Might be a peculiarity with my copy of the lens and I lose a bit of zoom capability but worth it to me for the results.
Oopps...interesting observation.
Although reviews of zooms, especially tele zooms reagularly show that there are significant differences in IQ across hte folcal length range, I would not have expected that a minor step-back from the long end would make a considerable differences in this way.