https://mtsu.edu/first-amendment/article/1242/son-of-sam-law...
Simply collect the ill-gotten gains from the perpetrator. The video seems like evidence anyway, should be part of the public record.
I wouldn't - which is why I don't mind if it's taken down.
On the other hand, if content is encouraging people to do harmful or dangerous things then that becomes a different issue. I'm less uncomfortable with YouTube trying to stop Tide Pod Challenge videos which were basically encouraging such activity: The first two weeks of 2018 saw about as many poisoning reports from this as most entire years before then. [1]
[1] https://web.archive.org/web/20220412042754/https://time.com/...
But if you're going to ban dangerous/stupid video someone has to make that determination. And you can be sure that there are a ton of activities that are dangerous/stupid in the eyes of some people (even understandably so). BASE jumping, wingsuits, really any kind of extreme sports, stuff with explosives, etc.
People were doing stupid stuff before YouTube existed. As long as it's legal (which this stunt was not) who cares? Teach your son why he shouldn't do that kind of stuff instead of turning to censorship.
I was nodding until this bit... why do you think YouTube should censor this? It's a real video of a real thing that he did (which he misrepresents the circumstances of). I could possibly get on board with "put an explanatory note next to it" or "don't let him get ad revenue from it", but what possible reason would there be for deleting it?