I have both and I tend to use the 45-200 because of the OIS. But I have to say, I've also shot video with the 14-150 and it does really well. I'm not sure how effective the OIS is during video - I know it does more than IBIS, but I get pretty good results from either. That said, I don't shoot a lot of video to begin with so I'm not the best judge of a good video lens. But I am surprised that the 14-150 works as well as it does.
-Ray