Okay, I'm not sure where to start with this video, but let me just say "No Way." As carpet cleaner in Tampa FL I remove carpet stains on a daily basis and I can tell you that a lot of these home remedies for carpet cleaning easily damage carpet. I will admit that I have used vinegar and water on occasion to remove carpet spots, but with a high water to vinegar ratio. I would never recommend using vinegar and Hydrogen Peroxide together undiluted. You're asking for trouble down the road.
This solution might have removed the carpet stain in the video but I guarantee you that it also damaged the dye sites of the carpet fibers. This means that sooner or later that area that was sprayed with the DIY carpet stain remover is going to lose color. They have effectively bleached the carpet. It might not be apparent yet but with a little heat added to that stained area it will almost immediately start to turn white. So the carpet is bleached.
Carpet stain removal can be tricky and taking it on by mixing a solution of things in your pantry can lead to disaster. Here in Tampa FL I have gone into so many homes where the home owner has tried to remove a carpet stain with things that should never be put in the carpet. I've had customers who have used WD-40, tooth paste, and of course bleach to remove stains. In every case the carpet has been damaged to some extent. If you have carpet stains use a product that is designed to be used in the carpet.