Possibly....you saw posts for machines that treat I and J differently.
I only program on Haas machines and on these machines I and J always give the "incremental" distance from the tool position to the center of the circle (arc).
But as far as I can figure out from reading different threads/posts here, it seems some machines interpret I and J as the 'absolute' location of the center.
So I don't think there is a "correct rule" for signing I and J, it depends on the machine.