The 70-200mm ƒ/4G VR offered some excellent results on the sub-frame D7000, producing tack-sharp results when used wide open at ƒ/4, at every focal length save 200mm. At 200mm the lens has a harder time keeping up, producing moderately sharp images at ƒ/4; stopping down to ƒ/5.6 however, will get back to tack-sharp.
The vast resolution of the D800e's 36-megapixel sensor wasn't as kind to the 70-200mm ƒ/4. It provided moderately sharp results through the 70-135mm range at ƒ/4, but again, 200mm at ƒ/4 was not as good. In this case, stopping down makes only a slight difference. As expected the corners are slightly more prevalent with the lens mounted on a full-frame camera as opposed to the APS-C sensor of the D7000, but not terribly so.
On either camera, results for sharpness are more or less stable through to ƒ/16, with a noticeable increase in softness at ƒ/22. Fully-stopped down performance at ƒ/32 is dramatically soft, and should be avoided on both sub- and full-frame cameras.