I doubt this is specific to the D800E model. Same would probably happen with the D800.
Look at the tennis video shot with the D800 model in this page:
http://***URL removed***/reviews/nikon-d800-d800e/24
And read Dan Chung's post regarding moire issues with the D800.
Nikon just needs to up their game in terms of video... They're close, but still not quite there.
http://www.dslrnewsshooter.com/2012/04/01/video-shootout-nikon-d800-vs-canon-5d-mkiii/