I'm not much of a physicist, but this rates a 9.5/10 on my personal BS mater. A single citation, two lines of analytical mathematics, a promise to resolve the Hubble tension without actually doing so quantitatively (or indeed, even conceptually), and I'm pretty certain (> 99%) that the no-hair theorem applies specifically to black holes, not other massive objects.
I know a little bit more about orbital mechanics, and I know that the internal structure of a planet matters for the stability of an orbit. While at larger distances the effect becomes small enough to ignore, it never really goes away. Whereas a black hole is indeed thought to behave like a point mass.