I don't know very well the AUREL modules, used in few occasions ( even they are quite good for the price ), but in some other modules you can see about from 15-20 dB above the threshold an increase in the Jitter of the square wave ( usually at 5-6 dB above threshold you have a jitter about ± 6% the width of the pulse ) and appear sone short spikes around the center of the pulse ( probably due the behaviour of the comparator ).
Sorry for the big delay in my answer, but I am very busy at work and there is no time for fun !!
Anyway, in the following simulation is shown the data as seen on the scope.
Hope it is enough, otherwise you have to wait at leas till monday when the emergency is finished.
Again sorry.