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I'll let someone else answer about the device physics.  I'll answer from an electrical engineering standpoint.

The answer is: <b>Maybe, but it doesn't matter since you should be considering worst case in your design anyway.</b>

You are really asking whether there is any correlation between the gate voltage to allow 10 nA, versus the current at 0 gate voltage.  There is probably not a direct relation in the physics, but maybe a general trend.  Again, none of this should matter when designing a circuit with these parts.  If you want more definite specs, then you need to select individual parts yourself, find a different part that guarantees the parameters you need, or change the circuit to be more tolerant.