Byzantine was a term used later and not by the east Roman Empire itself...

But it’s still important to understand that east Roman Empire and west Roman were still two distinct entities with different emperors.

East Rome was basically the region of greece and west Rome was the Italian region.

Also the church first formulated by Constantine was indeed called the Catholic Church... but... it has nothing to do with Catholicism of today. The original Catholic Church can only be found today (with autocephalad rule) in the modern day faith Christian Orthodoxy.

Christian orthodoxy is no different today as it was back then.

The terms Byzantine and even Catholics... has to be used under its modern day meanings - not out of correctness.. as you mentioned - but because the deception and changing meaning of Words and their understanding would cause people to be too confused, to get the correct message across.

So yes - subversion is a thing.. they succeeded.. and we can no longer revert because in explaining the correct message - people would be lost in their inability to understand. As such - what is dialogue if you say correct terms - but people understand a different history and reality to what actually happened.

Byzantine was a term used later and not by the east Roman Empire itself...

But it’s still important to understand that east Roman Empire and west Roman were still two distinct entities with different emperors.

East Rome was basically the region of greece and west Rome was the Italian region.

Also the church first formulated by Constantine was indeed called the Catholic Church... but... it has nothing to do with Catholicism of today. The original Catholic Church can only be found today (with autocephalad rule) in the modern day faith Christian Orthodoxy.