What do I mean by the opposite of irony? Well, irony is based on contradiction, right? I remember my daughter laughing as some bicycles suspended from a ceiling of a store. She was maybe 4, and she knew that bicycles did not belong in the air. Her favorite book in those days was Wacky Wednesday, an ode to humorous incongruity.
The absence of irony is the absence of contradictions or discrepancies. It is unnoticeable, because it is consistent and normal. So the real absence of irony is a consistency so consistent with itself that it calls attention to itself in spite of being expected. A white privileged male acts like an entitled privileged person. Aha! We expect that, of course, but this particular example of it is too perfect to escape notice. We wouldn't say, ironically, the storm chaser was killed by a tornado. That is not ironic at all, but rather all too fitting.
What Barthes called the doxa was the opposite of the paradox. It is what everyone expects to be the case. The paradox, much beloved here at SMT, is the opposite of that. We don't have as many labels for things that go with the grain.