I was reading a travelogue written by a Russian monk (? not sure, either a monk or a wealthy boyar predisposed to the Holy stuff) who was visiting Constantinople sometimes in the early 1300s, so a century after the whole tragedy, and he was still describing how destroyed the city looked because of the Franks and what big of a tragedy that was.
What I find most interesting is the Romans were unbeatable in battle, even the Byzantines. However, maintaining a large military presence was expensive and politically difficult to manage. So they used annual mercenaries from the north for the usual frontier squabbles, and the main army did the heavy lifting. It fell apart when there was a major conflict, and didn't help that the army held the city hostage demanding more money. So everyone was corrupt it would seem. Also there were the persistence of rumors of knights that may have kept most of the treasure for themselves and headed off to Cyprus. The Knights Templar were insanely wealthy given the times and cost of resources to mount expeditions.
https://en.wikipedia.org/wiki/Massacre_of_the_Latins
https://thetemplarknight.com/2021/12/13/cyprus-knights-templ...
They were, though? Adrianople, Yarmoud, Manzikert, Myriokephalon etc. it's just that the empire was extremely resilient and was generally able to recover from disasters which would have led to the collapse of most other states.
https://kalebatlantaprime.medium.com/the-great-schism-was-in...
e.g. There is currently a schism between the Orthodox Church and the Russian Orthodox Church which technically is not that different. Does that mean that the Russian Church is no longer Orthodox?
From their point of view, the West abandoned the true (i.e. orthodox) faith.
Also, it's hard to argue that the Eastern Christians changed more than Western ones. For example, since the 12th century the pope has forbidden priest marriage. There is some debate in the Catholic Church about allowing this again. If that is implemented, it would simply be a reversion to what the Orthodox Church has always done.
Also, it's not like the Roman Catholics claim to be heterodox or something, they also claim that their faith is "orthodox".
Then.. an anti-western emperor came to power had all the Latins/Italians in Constantinople massacred (>10% of the population) and things went pretty much downhill from there. It was very rapid, though. There were of course disagreements before the late 12th century but both sides generally acknowledged that they were part of the same Christian word/universal empire (even if they didn't quite agree who was in charge).