[Karrot_Kream]

Indeed and that's what makes labels difficult.

You can make the same argument about Middle Ages Western Christian philosophy for what it's worth. While it originated in the erstwhile Roman Empire, the cultural and religious norms at the time were very much attuned to the various Germanic norms of the peoples that dominated the formerly Western Roman Empire rather than the joint Roman and Greek culture that constituted the Roman Empire during the founding of Christianity. Eastern Roman Empire viz Byzantine norms were codified in the Orthodox Church canon and philosophy in the region had a much larger overlap with "Islamic" and Greek cultures of the time.