This only works if all worlds that follow the same fundamental theory exist in the same way our local neighborhood exists. If all of space has just one set of constants even though other values would fit the same theory of everything equally well, the anthropic principle does not apply, and so the fact that the universe is habitable is ordinary Bayesian evidence for something unknown going on.
The word "exist" doesn't do any useful work here. There are conceivable worlds that are different from this one, and whether they exist depends on the definition of "exist". But they're still relevant to an anthropic argument.
The habitability of the universe is not evidence of anything because the probability of observing a habitable universe is practically unity.
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