The video was posted in 2010, so it's not going to be a current reel. It's a little difficult to tell from the video, but little things suggest to me that it's a Shimano (line clip, plastic looking and the shape, general shape of the reel and the reel handle shape). Shimano haven't made a match sized front drag reel with the anti-reverse lever on the back of the body for quite a few years now.
However, as I try to watch the video really closely, I see a couple of hints that it might be a Daiwa. There's a hint that there may be a quick fold handle release button and the bail arm appears a bit thicker than most Shimano reels of that size.
There's always the possibility that in neither Daiwa or Shimano. The video is really not clear enough to be sure.
To me, it looks quite like a
Shimano Technium MgS from a few years back.
I suspect that, realistically, you are going to have to ask the fella concerned. It does look like he might answer questions that Youtube users have posed him.