Bayesians don't believe they lucked into their priors. They have a reflectively consistent causal explanation for their priors.
Even if their explanation were correct, they would still have lucked into them. Others have different priors and no doubt different causes for their priors. So those Bayesians would have been lucky, in order to have the causes that would produce correct priors instead of incorrect ones.
This is our monthly thread for collecting these little gems and pearls of wisdom, rationality-related quotes you've seen recently, or had stored in your quotesfile for ages, and which might be handy to link to in one of our discussions.