I don't know what that dividing line is.
Obviously, something such as the markets, some deep insights gained over time may manifest as intuition, in the same way kineasthetic memory through repetitive training helps footballers score goals in the blinking of an eye, or soldiers go through drills in the stress of war, etc.
But, abstractly, I suppose the classic Zener cards, 5 cards with a simple design, star, square, circle, etc, can be used to establish if sequences by certain individuals are higher than chance.
However, there is also the phenomenon of participants showing good results at the beginning of tests, then dropping to chance, then increasing to better than chance nearing the end of tests.
If participants are bored, the phenomenon may not manifest.
ARV, or experiments where participants have a vested interest, may be the key.
Not abstract tests, but where people can benefit from their insights.
Since its regarded as a pseudo-science, the results may be a long time coming.
Work by people such as Dean Radin, and Rupert Sheldrake are currently lone voices.