Impedance...
The LOWER it goes the GREATER the instantaneous short circuit Amperage will flow.
Hence, an inverse relationship.
An infinite bus at a given voltage is dominated by the impedance of its elements from sources to the bolted fault.
QED
The term inverse is almost irrelevant to your description. Of course, for a given voltage, current and impedance have an inverse relationship. But that relationship has nothing to do with the phrase kASC.
Amps, Short Circuit is not a common expression.
In the 'power systems study' world, an infinite bus source is one that can deliver an unlimited amount of current into a fault. There is no need to add additional sources of fault currents to an infinite bus.