Aha !
The MicroLogix 1000 DC inputs have a software filter on them that defaults to 8 milliseconds.
This default is to address the sort of general-purpose applications in which contact bounce is a problem, or in which 60 Hz noise is a problem on the DC supply.
In RSLogix 500, go into I/O Configuration, then click the Filter Adjust button.
You can adjust the input filters in groups, and can adjust them as low as 0.075 milliseconds.