WI Christianity retained a style of worship reminiscent of Eastern Orthodoxy?

What if for whatever reason, every Christian church that developed in this ATL retained a style of worship and church buildings that is reminiscent of Eastern Orthodoxy in OTL? If someone who was raised in a different religion visited a church in this ATL, they would encounter a religious tradition steeped in Classical Antiquity and elaborate rituals, like this:


How do you think this could've influenced the Middle Ages of Western Europe, and the Early Modern Period?
How popular would an Orthodox-style of worship be among people of foreign cultures introduced to Christianity later such as the Chinese or the Natives of South America?
 
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