The title of your thread is incorrect. Did you listen to the video? He said he doesn't do water changes anymore, and the last water change was 5 years ago. Still impressive, but if you set up a tank with normal equipment and husbandry and slowly remove equipment/tasks over time as the system becomes extremely well established over 23 years, that's very different then setting up a tank with no skimmer and no water changes and then just letting it run for 20+ years. He mentioned replacing the stand and sump at some point as well. I don't know when this occurred, but it surely involved a complete breakdown/refill of the tank.
I just listened to the video and only watched here and there (I'm at work), but I didn't hear mention of a refugium or any other method of nutrient removal. Something doesn't add up - if you put food in the tank for 5 years, and you don't remove anything (commonly via water changes, skimmer, or refugium), then that "stuff" is still there. It's simple science. They seemed to want to push the fact that there is no skimming or water changes but is there really absolutely no method of nutrient control/removal? Removing corals as they overgrow would remove some nutrients from the system, but I would be surprised if the corals grew enough that nutrient control was managed by their pruning.