In regard to why the military prefers Greek names and the eggheads prefer Roman….
The reason can be understood in why Rome was not Greek. Rome took all of the mythos of the Med and consolidated it under its own brand. This wasn't entirely unique, but as Rome accumulated power, there became a fundamental shift in the Senate.
Many empires did something rather similar at some point - that is they centralized rule under not just a military hegemony, but a divine decree, as well. The scholars were tasked with casting family lineages or positions as being of divine significance.
This process culminated in the dissolution of the Roman empire and its replacement as what we now call the Catholic Church.
If you want to know why POTUS refused to recite the "Apostle's Creed" - it has to do with this specific event and the reference to the "Holy Catholic Church." As well as a few other little additions that were included to complete the consolidation of the traditions of what started in Judea into a Roman imperial rite.
More specifically - a coup within the senate… But the details of that are difficult to track this far into the future.
Look around the world. The Chinese empire with its divine emperor… Japan and the imperial regalia… Take your pick of South American cultures. India was much the same way.
This is the conflation of spirituality with the State.
Prometheus loved to fuck with Zeus from time to time.
Zeus feared Athena would be his undoing.
Hephaestus taught humanity of the forge.
Those elements of fire are what has made humanity more than mere cattle to the gods.
Western spirituality is rather stunted and has conflated the concept of the Tao with the identity of a tribal god of Judea, later morphed into an idol of authority used to justify the tyranny of posers.
The God many Christians believe in does exist - but the dogma and institution surrounding their scriptures created an idol to justify not only their authority - but a state of perpetual self-loathing and guilt.
Everything must be understood in its proper context. Some things are not about getting a right or wrong answer - but grasping the possibilities within the ambiguity.