I was going to wait till after the holiday to comment on your post descriptions, but just like a kid at this time of year, I couldn't wait any longer since I had some time to spare before family gatherings commence.
First of all I would like to congratulate your achievements concerning your analysis of Stonehenge as a Lunar Eclipse calculator, and the manner you reconcile Metric units, with units of Time cycles of the Moon. That is always a challenging affair. And also your correct observations that these time cycles are incorporated as Metric units in the GP height as you describe in your post. I would just like to point out one item in regard your calculations that make these figures as precise as you describe them is due to your using what I have been mentioning for many years as the Old Meter unit of 39.375 ins. And Prof. A. Thom's Megalithic Yard is a factor of that old Meter unit as well. Only in a manner you may not be accustomed to seeing in this case.
Your calculation of the height of the GP is using the AE RC unit of 20.625 ins. which is comparable to the old Saxon Ft. of 13.2 ins as 25/16 ratio. But there are a few AE RC units to consider in this matter also. The best one in this case, is the .525 Meter RC unit of 20.671875 ins. which divided by 7/4 gives an Egyptian Ft. of 11.8125 ins., which is in ratio to the Imp.Ft as 63/64 = 12 ins. The difference between this AE RC and the one you used being the ratio 441/440. This larger AE RC unit can then be expanded by another ratio of some familiarity around here of 176/175 to obtain a unit of 20.79 ins. And what makes this unit so intriguing is that it is in ratio to the Imp.Ft. as 1:1.7325 ins., which is a very ancient value of the sq.rt. of 3 which is also found in the grid layout of the Giza Plateau defined by the rectangle of the three main pyramids distance length in Cubits of 20.625 ins. x 1732.5 units. While you have been focusing on the Lunar Saros cycle, the layout of the Giza plateau width factor of 1417.5 cubits in this rectangular grid gives a product of 99 Lunar cycles of 29.53125 days, which is the Metonic 8 year cycle of the Moon.
But now back to the Megalithic Yard connection to this situation. The metrologic research of Hugh Franklin made the discovery many years ago, that the connecting factor between Imperial units and Megalithic units could be described as the short side of a Vesica, whose half long side x Pi = 1:2.722179 ect. But as you know already, those ancient astronomers didn't use the modern ratio of Pi, but the old 22/7 variety instead. Such that when I divide the previous unit ratio of the Vesica in half as 1.7325 / 2 = .86625 x 22/7 = 2.7225 Ft. in ratio to the Imperial Ft. This ratio factor may look odd to some as a value of the MY, but it has it's precedence in of all places, ancient Volumetric units such as the old Scottish Bushel of 2178 cu. ins., divided into 8 Old Corn gallons of 272.25 cubic ins. So the old Saxon units are ever present in this matter also as you correctly mention.
Best regards, and Happy Holidays,
Stephen who is looking forward to reading the entirety of your research on this subject