I think you're letting your experience with the stereotype color your impression of that page. If anything, it's one of the more respectful Dr. Thirteen portrayals out there, in that it depicts him not as a fool who claims 'hoax' despite all evidence but as someone who genuinely has only encountered hoaxes and only ever will. As Constantine says, as far as Thirteen's own experiences goes, he's right. The idea is that all those cases he investigated really are fake because magic will never intersect with his life, just as it won't for all the millions who aren't like Tim Hunter and Constantine.
There's metaphoric power in that. Like spirituality, it's something that's not real to everyone else and will never effect them... but yet has great meaning and real effect for those who believe.
That still makes it sound like the scientific viewpoint is incapable of expanding to encompass something new, but in fact that's exactly what science does all the time. Plenty of scientists study things that will never "intersect" with their lives. They don't just sit around waiting for things to come to them, they actively go looking for things they don't already know. Because that is literally their job.
Besides, I find it a contrived dodge, an excuse to "hide" magic in a fictional universe that you're pretending is like our own. Why bother? If magic is part of that fictional universe, then it's not our universe, so why waste the effort pretending? Let the magic just be real. Let it be a part of the world that has a clear impact. Explore how its existence makes the human experience different than it is in our lives. That's the power of speculative fiction, that ability to explore how new discoveries or phenomena or alternative paths in history would change the world and the way people lived. I don't like SF and fantasy that hides its extraordinary elements behind a veil of secrecy, because it's a copout. And because writers often have to go to ridiculously contrived lengths to keep the secret. It's always more interesting when the secret comes out and actually affects the world. For instance, iZombie has become enormously more interesting since the existence of zombies became public knowledge at the end of season 3.