As for the article you linked to, that kind of probabilistic approach sort of works for recent events. Applying it to things that happened a long time ago, where the presence or absence of evidence is correlated with a whole lot of other things, from court historians making shit up to cows tripping up over a lamp light and burning whole cities, is a pretty futile exercise.
But still more written than you could ever hope to read in your lifetime.
If calendars really did advance 300 years, we are living past the advance. That means that when we see a writing reference an eclipse that we know happened in what we call 900, it doesn't actually tell us anything about the calendar having moved or not. It only tells us that something was observed 1122 years ago. That could be 900 years after 0AD, or it could be 600.
Actually, almost every instance of dating anything back then depends upon few relative date calculations which are "known". The eclipse happened 1000 years ago, so that is year 1022, and this writing referencing it is from 1022, and so this scholar writing a generation later is from 1082. This inscribed rock was found under 1100 years of dust, so the people living here were from 922, and their language existed at that time, and all records we find from this civilization are now known to be from the early 900s. Now we can claim to have evidence that there was thriving commerce in the 900s with hundreds of written records about it, so of course the dates weren't changed.
If you dig into the records people cite as evidence against the phantom time hypothesis, the vast majority of them (literally every one that I've seen) is using indirect dating in this way, which doesn't mean anything.
It's actually as strong as your expectation of the evidence being there. If you are absolute sure of the evidence, look, and don't find anything, this is very strong evidence of the absence.
But well, on this case the absence is quite expected too.
Evidence that kind of points towards something, but inconclusively, is weak evidence.
For example, if 100 witnesses saw the accused murder the victim, and they're all credible, and they tell corroborating stories, that's pretty strong evidence.
If 1 person thinks he saw the accused murder the victim, from the other side of a car park, but he has bad eyesight anyway and it was dark and raining, then that's weak evidence. It's not nothing, it's still evidence, but it is weak.
Your theory predicting reality is generally weak evidence. It opens your theory to invalidation if the prediction fails, but does not rule out hypothetical alternative theories that also make the same prediction.
The reason that a messy pool of blood on the floor is evidence of violence is the theory that the blood came out of a person in a messy way.