I'm not entirely sure the same will happen with video. Not only are the videos typically posted on Reddit's largest video subreddits are from the YouTube community (and intended for the YouTube community), the video player beta is apparently a worse user experience than YouTube. (in contrast with images, where the competitor was the one with the worse user experience)
And that's not even getting into the logistical concerns. Hosting images is much, much easier than video, as video has much higher bandwidth/storage requirements AND Reddit will have to frequently remove pirated/NSFW videos for Safe Harbor protection/advertiser friendliness, which is a challenge even Google has not been able to solve at scale.