I'm not sure why I'm supposed to be applauding.

Cox's theorem is a theorem. I get that the actual Bayesian methods can be infeasible to compute in certain conditions so people like certain approximations which apply when priors are non-informative, samples are large enough, etc., but why can't they admit they're approximations to something else, rather than come up with this totally new, counter-intuitive epistemology where it's not allowed to assign probabilities to fixed but unknown parameters, which is totally at odds with commonsensical usage (normal people have no qualms using words such as “probably”, “likely”, etc. about unknown but unchangeable situations, and sometimes even bet on them¹)?

For more information, read the first few chapters of Probability Theory: The Logic of Science by E.T. Jaynes.

1. In poker, by the time you see your hand the deck has already been shuffled, so the sequence of the cards is fixed; but so long as none of the players knows it, that doesn't matter. I don't think anyone fails to get this and I guess frequentists are just compartmentalizing.