Congratulations Alex - as always, a well researched paper.
I have a comment about the flood dates you used. I recently attended a lecture by John Burn where he presented an idea that perhaps Egyptologists have considered the flood as being more regular than it was in reality. He spoke about river ecology and the effects on plant and animal life and correlated those expected events to art scenes depicting life along the Nile. I found the paper related to his lecture here:
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researchers.mq.edu.au]
Even in this context, I think your statement on p49 "While one can assume that the events discussed occurred during extremely early(/ low)-flood years, it is unlikely that this would have been the case for both of the two known relevant dates." should still hold.