That is not true Trajan himself went out of his way and entered the ruins of Babylon showing that Babylon was held in high regard by the Roman elites and since Rome liked to steal or plagerize other cultures ideas and take them for their own it is rather obvious they did the same by emulating what they wanted from past Babylonianhistory.. Much of this knowledge was cataloged and found in some of the major libraries that Roman scholars and scribes had access too
Trajan entered the ruins of Babylon. Rome had zero contact with Babylon. Babylon had no influence over Rome.