For D, it isn't just about whether the evidence would survive to today, it's about whether it would survive to, say, the grandchildren of the time, who might comment on it themselves.
D is, IMHO, what really clenches it... there is simply no way to do this without a ton of text being generated. You might think, "ah, just tell everyone to destroy the evidence afterwards", but, first rule of history, past people are just as human as you are. There's no way you'd get 100% compliance today; imagine the internet commentary today, imagine telling everybody on the internet to delete all the evidence of a change like this. Not gonna happen.
It's an amusing theory, as I quite enjoy a good conspiracy theory, but it makes no sense. Even the putative motives don't begin to justify such work. Historically speaking, if you are the sort of person who wants to be important to the calendar, you don't put gaps in to line up to nice round powers-of-ten, you call yourself a new calendar and start out with a fresh Year 1.
"It must have been, then, that there were local attempts to retain the coincidences between the true and the calendar year — intercalation of days or even of months being introduced, now in one place, now in another ; and these attempts, of course, would make confusion worse confounded^ as the months might vary with tlie district, and not with the time of year.
That this is what really happened is, no doubt, tlie origin of the stringent oath required of the Pharaohs in after times, to which I shall subsequently refer.
[...]
When the year of 365 days was established, it was evidently imagined that finality had been reached ; and, mindful of the confusion which, as we have shown, must have resulted from the attempt to keep up a year of 360 days by intercalations, each Egyptian king, on his accession to the throne, bound himself by oath before the priest of Isis, in the temple of Ptah at Memphis, not to intercalate either days or months, but to retain the year of 365 days as established by the Antiqui.^ The text of the Latin translation preserved by Nigidius Figulus cannot be accurately restored; only thus much can be seen with certainty.
To retain this year of 365 days, then, became the first law for the king, and, indeed, the Pharaohs thenceforth throughout the Avhole course of Egyptian history adhered to it, in spite of their being subsequently convinced, as we shall see, of its inadequacy." https://archive.org/stream/dawnastronomyas00lockgoog/dawnast...
Edit: I have no idea how accurate any of this stuff is. From my little experience trying to figure out the origins of historical claims I have learned it is very difficult to do so. Poor citing practices abound.
Failing to record eclipses doesn't seem very remarkable. There are on average about 1.5 lunar eclipses per year. Clearly people throughout history were not recording every single one. Even the densest parts of your graph are missing most of them.
Edit: also note that this graph is "timed" eclipses only. I take that to mean that it only includes eclipses which were not only observed and recorded, but for which the record includes the local time of day of the event. This is necessary for measuring the Earth's long term change in rotation, as that slide does, but unnecessary for synchronizing calendars.
On the off chance you are familiar with this type of research, do you have any conception for how accurate dates like these are and how they were arrived at? I find it very difficult to find out what the ground truth evidence is for any historical (ie pre-printing press) data.
https://en.wikipedia.org/wiki/New_Chronology_%28Fomenko%29
https://en.wikipedia.org/wiki/New_Chronology_%28Rohl%29
https://en.wikipedia.org/wiki/Ages_in_Chaos
A common theme is attempting to tie the Bible in with the rest of history.
I think the touch that the New Testament actually refers to events prior to those of the Old Testament is particularly fun.
https://books.google.com/books?id=tYUsrknjhbEC&pg=PA46#v=one...
"Past a certain point, all the dates grow hazy and confused, and the clarity of history becomes the fog of legend." - Hoster Blackwood, to Jaime Lannister
In reality, there are the same number as before--plus one if you bought yours newly manufactured--but your brain is now primed to notice them more often. Before, they blended in with the myriad of other car models, but now you notice that other people are driving your car.
If you just bought a brand new 2016 model BMW 525i there's a good chance that if you start seeing more of them it's because there are actually more of them now. :)
Anyway, can you cite the specific evidence for eg chinese eclipses and their associated dates? Wikipedia cites this page which has that awful scholarship I've found is typical of chronology discussions: http://www.uwgb.edu/dutchs/PSEUDOSC/Phantom%20Time.HTM
The risk comes in when the people who have the time to curate and shape the article are the ones whose beliefs are demonstrably untrue, and the counter-evidence gets stripped from the article.