I see the point, though I don’t see why we should be too worried about the semantics here. As someone mentioned below, I think the “gambler’s fallacy” is a folk term for a pattern of beliefs, and the claim is that Bayesians (with reasonable priors) exhibit the same pattern of beliefs. Some relevant discussion in the full paper (p. 3), which I (perhaps misguidedly) cut for the sake of brevity:
I see the point, though I don’t see why we should be too worried about the semantics here. As someone mentioned below, I think the “gambler’s fallacy” is a folk term for a pattern of beliefs, and the claim is that Bayesians (with reasonable priors) exhibit the same pattern of beliefs. Some relevant discussion in the full paper (p. 3), which I (perhaps misguidedly) cut for the sake of brevity: