The journal I work for just rolled out a new methods format; the big change is requiring all resources to be listed, with their origin (a major problem is that Chemical A or lab rat subspecies B might be very different from one company or another, even if they're theoretically identical.) What's really needed is broader standardization of all practices; requiring video wouldn't solve the issue that different labs might not know what another would think needed to be videotaped. No one is going to document and record the entire course of an experiment; that would literally be months of footage. We'd like to make sure everyone has the same understanding of procedures and techniques, but that requires communication not just through journals, but between scientists and academic institutions.
Additionally, not everything appears on video. We have found major differences between identical studies run in rooms set at different temperatures. Also, many of the procedures I do would essentially require a camera operator to capture all of the movement. I take a cage out of a rack, take a mouse out of the cage, weigh it, dose it, etc.
No, but the burden of videography is a lot higher than the burden of writing a paper. In fact, a paper isn't written for every study, so in order to write a paper, you'd have to take video of every study just in case one of them is used in a paper in the future. It's a much higher burden than people want to believe. Add to that the fact that most animal facilities won't add cameras unless you force them at gunpoint because historically, videos of that sort make for targeting by protest groups.