If you're interested, then go ahead and read about the history of telepathy research so you can have a (more) informed opinion about it. Numerous well-performed and controlled experiments have not find any evidence for it, and in this case, absence of evidence is reasonably strong evidence of absence. Since there are so many other interesting (real) things in the universe to study, I conclude that people who continue to study it are doing so for reasons unrelated to the merits. It doesn't make someone "not a real scientist", but I sure would look askance at their critical thinking skills.

> This EM drive is a case in point. Studies seem to suggest there is a real thing happening here ...

That's not what I see. Every time the experiment is done with more precision and less noise, the effect diminishes again to near the limits of experimental error. That's exactly what you would see if the force was due to thermal (or other electromagnetic) effects rather than novel engineering principles. Nothing wrong with studying it, though. But I'd be willing to bet real money it all comes to nothing.

Edit:

> Is there any data to support your theory that people who are willing to study telepathy are less mathematically able than those who are not?

No, of course there is no such data. And mathematical ability is only tangentially related to critical thinking in the real world.