It most certainly DOES...You have to go a little deeper than what you cherry picked out of the work you cited...
The original (which we all know doesn't exist) was translated into the 'OLD' Latin...And this Old Latin is basically included in what is now called the Received Text...
If you want to connect your Roman church with the old Orthodox church, then it's true that your church used the same texts as the KJV...And then the church split...Your side of split became Roman...
Then along came Constantine and thus, Jerome...Jerome left the texts of the Old Latin and retranslated it and created the Vulgate...Apparently he didn't like what the Old Latin and Greek said...
The Eastern Church split from Rome in 1054 AD.
If you trace your translations to the Orthodox, you STILL have to admit that Rome had great influence in your translations.
There is little difference, today, between the Eastern Orthodox and the the Roman Catholic Church.