It is certainly plausible, there is no evidence to discount that. The dominant function usually is refined by the tertiary function (in the specific case of Pi-Ji). Specifically with Ni-Ti, it would be sort of like "Does this possibility (convergent) make logical sense to me?"
I also think shapes would adequately represent the different playing styles as well.
Ni cuts across the board sharply and directly like the hypotenuse of a right triangle (example utilized to illustrate the calculative nature of its plan)
Ne converges across the board like a contracting oval, slowly closing the distance until finally a possibility is chosen. (Akin to a tightening of the noose, I guess)
Se ravages the board with a movement like a coordinate planes' axes (much like the rook in the game itself, really)
Si (might) set a strict perimeter and border that expands to eventually encompass the opponent like the rigidity of a rectangle.
Je works like a stair-case, making strategic gains in an attempt to control the board and prevent movement anywhere but the place the staircase permits, which in this case, would be up.
Ji (possibly) works like a scatter plot, recognizing the individual points and seeing how they work in tandem with one another to figure out each points' purpose in the long run.
That's why well-played Ne chess seems so fluent and graceful! That's a wonderful image.
Also why Ni/Te in tandem is such a potent axis for abstract iteration - Ni derives convergent patterns, Te communicates them clearly, objectively, and externally.
Comes just as it goes
Goes as just its umbra
“Don't walk behind me; I may not lead. Don't walk in front of me; I may not follow. Just walk beside me and be my friend.”
― Albert Camus
People tend to not know what the hell to do if their opponent doesn't develop their pieces and try to control the center. I totally subvert that on people who know to follow that 'protocol' but seem as though they wouldn't know how to counter oddball styles--those who assume that "optimal" play is the only way to go and are simply just used to it.
Get a lil' bit of tempo going after that, and you can revert to normal tactics while the other person tries to recover.
If they seem like they know what they're doing, then I can't risk that.