Talking about obviousness as if it was inherent in a conclusion is typical mind projection fallacy. What it generally implies (and what I think you mean) is that any sufficiently rational person would see it; but when lots of people don't see it, calling it obvious is against social convention (it's claiming higher rationality and thus social status than your audience). In this case I think that to your average reader the analogies aren't obviously irrelevant, even though I personally do find them obviously irrelevant.

When you're trying to argue that something is the case (ie. that the analogies are irrelevant) the difference between what you are arguing being OBVIOUS and it merely being POSSIBLE is extremely vast.