Although I think you are mostly right in your structural understanding in the OP, I think it may be very difficult to test this under any controlled conditions, for reasons I'll try to explain in as vague terms as possible:
What we call magic, or PSI is very common in the world. "Everyone" does it, and the research you are taking up here, has probably been done before, by someone else, whose interests are different from your own.
Someone has already faced the difficulties you face in grasping it, and in as far as they had results, which motivated the research being started, they would also be willing to invest real money in this research.
This means, they value the results they get, and they won't share it, because it was performed by private entities. Science as we know it, is treated as "collective knowledge" and works by the current paradigm of thought. This kind of science is what is studied at public institutions, and you face peer reviews and a demand to prove your thesis in laboratory or other kinds of controlled settings. This creates a tendency towards only being able to research things which can be performed in such settings. For example, someone claims to be able to look through physical objects. Fine, we can test this. But if you claim to be able to effect changes in social trends, this is not something you can test at a university. If you could actually do it, the research would very likely cause many entities in society to become upset, as they already invested money and effort into whatever the current social trend is.
So you face politics, the moment you step outside the laboratory.
And therein lies the issue here. It turns into the same thing as Schrödinger's cat, or the double slit experiment; as long as you don't prove the magic is real, you can work mostly freely, in terms of not getting interfered with by common actors. But the moment you were to conduct experiments such as any kind of social manipulation, it may likely cause outrage if successful, both by those being manipulated, and those who invested into a different direction.
So it's like the cat in the box, as long as we aren't looking at it, it may be dead or alive. But the moment we open the box, it's dead.