I watched the video, and what impressed me was that some people should not be making videos and posting them on YouTube. It seems that there must be some kind of excitement by seeing your own production. Must be the Norm wannabee weekend warrior syndrome.
Experience tells me what is safe, and the most efficient method for doing shop work. I agree with Hammer that routers set up for specific procedures could be the best, safest, and fastest way.
So, watching the guy make his first cut with the panel flat, he, IMO had his hand too close to the fence to afford the best control. He also removed his hand in the middle of the cut. There are many times that on long cuts, or inordinate size panels, you have to take a step or two to keep into the movement, and possibly changing hand positions. I think in this situation, his hand near the fence should have been a bit farther away.
He cut on the right side of the fence because he wasn't set up for cutting it on the left side. If you aren't comfortable with that arrangement, by all means take the time to create a support table for doing the work. Working with unfamiliar handling, can be a source of creating a hazardous situation.
When he completed the rabbet on the left side of the fence, he tried to control the standing piece with one hand. During that cut, you could hear the blade responding to the panel tipping even so slightly. And, as Steve pointed out, using a push stick like he did is asking for a hole in your hand.
I've done cuts like that but I control the panel with two hands. If necessary, configure a taller side to the fence to maintain its orientation throughout the cut. I rabbet drawer sides on the table saw, on the RAS, on the router table. Whichever method I use, I take the time to make sure that my procedure will be as safe as I can make it and produce the best joint.
If my response isn't to someone's liking, all I can say is that some explanations are better when they are very simply stated, in simple terms, minimizing how it can be misconstrued.