"It makes no sense at all to me that your Sigma lens could vignette for video."
Well all I can tell you is that is does. I was shooting in standard 16:9 on a Panasonic G6 (Did the same on a GH3). No hood, not even a UV filter. As I said even wide open there is some shading in the corners, stills and video. I don't have any other DX lenses to compare, as everything else I'm using are 35mm lenses so I can't tell if its just this lens (this example or the model in general.) No problems with any other lens. Basically I really don't have any answers for you.
Personally, its not a problem, I was selling the lens anyway, have now sold it. However I thought that I should post what happens with the lens. By the way its almost brand new and hardly used. I bought it for some low light work, but with the Speed Booster I don't need it now and I have better lenses anyway.
Apart from that, and presuming that you are Brian Caldwell ???, my congratulations on a spectacular piece of kit. The results I'm getting for stills and video are just incredible and your 'magic' (though I do realise it has nothing to do with that!) trick of widening the lens, adding a stop more light and actually improving my lens performance is seriously impressive. I'm using nothing else but my Nikon primes currently and have a Nikon > Fuji X Speed Booster on order, to use them on that camera. So I'll leave the Sigma mystery with you (Perhaps some other users might clarify whether its a problem with my lens or more widespread.)
Anyway thanks for replying and above all thanks for your creation. Best piece of kit I've bought for years.