If we equivocate "non-materialistic" as super natural then I would say I agree with you. However, in my opinion there is NOTHING that exist in nature that is supernatural. The fact that it exist means it is natural in my opinion. And if this is so then it seems reasonable to conclude that if something exist that is non-material then it is natural too.
Assuming you mean "equate", your "however" seems to be a case of eating your cake and keeping it too. "The fact that it exist" What exactly is "it" in this sentence? If it's generic never mind, but it looks more to me as if you're saying magic exists so by definition it isn't supernatural.
What would a non-material (non-physical, magical) cause look like?
I suspect that a non-material cause would fail to meet certain expectation of the natural world. Force would unrelated to acceleration, stress would be unrelated to strain, temperature would be unrelated to heat, ghosts can walk through wall but not fall through floors, etc.
If I'm standing on a scale while my mind lifts a table does it affect the reading? Does my mind have to exert more effort to lift a car? Can my mind lift a car at one meter, but only a table at 10 meters? Can my mind make a cup of soup without simultaneously making a bucket of ice?
If my mind has to make material trade-offs I'd assume a materialistic explanation will ensue eventually.
If my mind does not have to make material trade-offs I'd be at a lose as to how one could possibly discover a materialistic explanation.
We have yet to discover any effect that didn't make trade-offs. Until we do non-materialistic explanations are a non-starter.
Why not go the whole enchilada?
Because so far I've only been able to examine 110
-270 of the Universe. I want to hold off until I get to 110
-268.
Edited by lyx2no, : Typo.
The world breaks everyone, and afterward many are strong at the broken places. But those it cannot break, it kills. It kills the very good and the very gentle and the very brave impartially. If you are none of these, you can be sure that it will kill you too, but there will be no special hurry.
Ernest Hemingway