This is definitely the better solution. We don’t need the court experiencing major political swings during nearly every presidency.

Edit: Also, the chief justice should either be chosen amongst themselves or be the longest serving member, not randomly chosen when that spot opens.

While I am thinking about it. if we really want to depoliticize the position, as much as possible, we should consider making them lifetime public citizens after they join the court. By public citizen, I mean they become wards of the nation and can no longer make or posses money or assets. They must divest all assets to family and will be provided food, lodging, and stipends for travel or leisure for the rest of their lives. After they retire they will become Justices Emeriti who should guest lecture at various law schools and may be called in to advise or assist the sitting court when particularly complex issues arise. Any money made by a Justice Emeritus should be funneled into the cost of providing for all the Justice Emeritus.