Common sense can mislead, so it's instructive to make it rigorous to see whether it does indeed hold up. Not for everything or even most things, otherwise you'd be analysis paralysis sets in.
He also used common sense to determine he had no way of determining the probability of a rigged event. And therefore using Bayesian probability looked fancy but didn't help learn anything new. I remember reading first paragraph and thinking wow, bayesian has a way of helping determining the odds of that, but no.
Either he wanted to educate or is so involved with statistics that it became his default way of framing problems.