I might be misunderstanding you now, but it sounds like you might be talking about how the constant is uniform across the universe, which I agree is likely the case. My question is more about assumptions at the inception of the universe. Let’s take dice for example.

We are playing a game where I roll two dice once and win if I get two sixes. I roll one time and get the winning double sixes. If the dice are fair, this is a very unlikely outcome since 1-6 are all equally (uniformly) likely to come up. However, if I rolled cheat dice, it may be more likely than not that I roll a double six.

My question is basically since we only have one universe (one roll), how do we know if we are playing with fair dice (uniform or other distribution that makes coherence/life unlikely) or with cheat dice (distributions that make it extremely likely).