The first sentence seems obviously true to me, the second probably false.

My reasoning: to make observations and update on them, I must continue to exist. Hence I expect to make the same observations & updates whether or not the anthropic explanation is true (because I won't exist to observe and update on AI extinction if it occurs), so observing a "passing year without catastrophe" actually has a likelihood ratio of one, and is not Bayesian evidence for or against the anthropic explanation.