I tried making a couple videos earlier tonight (of me playing vs. jonts26, who I'd like to thank very much for his cooperation). For the most part, they turned out crappy. There's only one I'd be willing to upload, and the audio in it is horrible to the point where it becomes unwatchable, but the game itself is surprisingly full of interesting decisions (despite being kind of a boring board), so I'm looking into re-recording a new audio commentary track over it. I need to pick up a higher quality microphone and figure out how to splice new audio onto existing video.
One thing I did learn from my attempts at making videos is that they capture a LOT of strategy elements that are extremely difficult or impossible to spot in logs. In isotropic logs, since it's a start-to-finish text recap, it kind of looks like all the players are super confident in their decisions, but in the heat of battle there's a ton of deliberation. Also, if you're playing a combo deck with a draw engine, the log captures the first 5 cards you start with that turn, but not any of the ones you draw, so after that it's hard to spot the order the cards are played in in big turns, or what a player's discard options are (with warehouse or inn or whatever). Also it's hard to pull from the logs information about cards the players intentionally didn't play, or if the size of the deck/discard pile influenced their decisions, etc. A video can only capture one player's window into all of these elements, but in my opinion it's still better than reading a log.
The bottom line is that even though I don't have a video to show (yet), there is definitely tons of merit to making them and watching them, so if you're thinking about doing it and you think you have something to offer strategy-wise I encourage you to do it. I used two pieces of software in my attempts to make videos (SMrecorder to record, and Avidemux to edit) and they were both free, so cost shouldn't be an issue (unless you don't have a good microphone like me).
For the record, I think since isotropic logs are available, exposure to the public should not be a concern when it comes to asking for your opponent's permission to record a game. HOWEVER, I think the recorder should ask the opponent(s) for permission every time because recorded games WILL take longer, if they are good, since they should contain lots of pauses for deliberation and commentary (and if all I want to do is blast a few quick games I should have the option of avoiding that).