If you read the posted interview with Arutunian, the biggest issue with Nathan is Nathan and his family. It appears that he takes his direction predominantly from his mother and the rest of his family to the detriment of any attempted intervention from a coach.
In the TSL men's recap, they discussed this. I know how some people feel about TSL, but their Olympic recaps so far have had interesting guests. For the men, they had a Canadian/American coach who's friends with Brian. They asked him about Nathan and potentially moving to Brian and would that help if the main issue was his mother running the show. He basically said that it would depend on whether a new coach (in general, not just Brian) would push back against that a bit more and take more control and if the parents would trust the coach. I think one of them speculated that it might be better if Nathan moved there without his family.
In general, not just about Nathan, he said that Brian won't take many new people because he doesn't like to stretch himself too thin. He said Brian considers about 4-5 students his max, but that's only for being their main coach. For example, he works a lot with Gabby and Stephen Gogolev, but Lee Barkell is their main coach. Right now he's the primary coach for Hanyu, Fernandez, Tursynbaeva, and Cha.
He said that Brian has turned down several people in the past because he saw that they were maxed out in terms of potential, and that he's always turned out to be right on that. He also said that he's sure lots of people will be calling Brian and that a few already have before the Olympics. He said Brian will be picky about who he chooses to take on.
Back to Nathan, I don't know if moving to Brian would be the right move for him. I'd certainly be interested in seeing it. I do think that the intense media attention did get to Nathan, even if that wasn't the only issue, and in that sense Brian is a great choice. He has a lot of experience in dealing with that and TCSC is a private club and everything.
As for Vincent, in that video they also discussed his numerous coaches, and the guest's opinion was that when you work with a lot of people they need to be communicating between them very very well. In general he thought that someone needs to be running the show. I do think TCSC would be good at helping Vincent develop into a complete skater, improve his skating skills and everything. Maybe his current team will do that. We'll see.
