They are the same thing. Gertrude Stein had it right: probability is probability is probability. It doesn't matter whether your interpretation is Bayesian or frequentist. The distinction between the two is simply how one chooses to apply probability: as a property of the world (frequentist) or as a description of our mental world-models (Bayesian). In either case the rules of probability are the same.
This phrasing suggests that Bayesians can't accept quantum mechanics except via hidden variables. This is not the case.
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