The lens handled really well on the A6K and didn't feel too large or heavy. It locked focus quickly even in low light and the OS seems to work very well.
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I had the D750 on a sling strap and the A6K/70-200 on my belt on a Capture Clip and it never got in the way or felt like it was going to fall off.
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The only negative i'd say is that even with good high ISO from the A6K, sometimes F4 just isn't a wide enough aperture to give good subject separation but that's not really the fault of the lens. I think on a FF body the resulting shallower dof at F4 would be better. Other than that it's an excellent lens.