There are many factors on that reef. Not the least of which is they're working on a reef that has had major die-off. That came from the various factors they referred to in the video, primarily environment, which hasn't changed.
So it's nothing like a controlled environment, creating ideal conditions and minus any predators, like a home reef tank.
You could almost miss the part where they talk about growing frags in a range of pH water in order to learn which corals will survive in an unnatural pH.
They do show the corals being protected from Parrotfish until they're large enough.
Have you ever been on a reef and see a Parrotfish eat coral ? I have and it's insane. They will fill their bellies until they look like they should burst and then spend a couple of days digesting the coral. Some puffers and other fish do the same thing. Those fish are still on the reef and their predation prevents many corals from re-populating.
It's not the best video. The NOAH guy is useless, sadly. And it's just a general news bite, even if it came from PBS which raises the bar a little.