I just purchased a AF-S Nikkor 70-200mm f/4 lens and am planning to buy a TC-20, 2X teleconverter. Nikon says the D7000 has autofocus issues with lenses with equivalent apertures smaller the f/5.6 due to how the autofocus system works. The system splits the image into two and judges the focus on how far apart the two images are on the focus sensor. When the effective aperture gets too small it interferes with the ability to create the two images.
I have heard that others have not had an issue with a f/4 lens and a 2x teleconverter on the D7000. I wonder if it has to do with the focus point that is selected. It seems logical to me that the system would have more problems when a focus point on the side is selected as opposed to the center point. The image of the object of a side focus point might be more blocked by the small effective aperture than the center point which I would think would be affected very little.
Does anyone out there really understand this subject? I plan to buy the teleconverter anyway and manual focus when necessary which won't be a problem in good light.
John