I don't know for sure, but normal useage of the term active and inactive would suggest that the active bearing carries the load during normal operation, the inactive only during special conditions.
For example large vertical motor. Typically Kingsbury bearing is continuously carrying the weight and downthrust. It would be the active bearing.
During momentary upthrust, the rotor is free to move some distance at which point it is stopped by some other bearing. Sometimes this function is performed by movement of a lower ball bearing over a limited range. Sometimes a separate upthrust bearing above the upper bearing. Either way the thrust bearing taking momentary thrust would seem to be inactive thrust bearing.
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