Those spiritual reasons bleed into genetics, though. The Amarr are an educated society, who use science as proof of God. Science is included in the Scriptures. And they are already established as being heavily concerned with ancestry and heritage. The science would be a way of documenting those who are descendants of the unredeemed sinners. Genetic analysis is part of genealogy, afterall. You can't really divorce the two. The religion is from where the racist ideologies come from, but the genetics is the science used to track that progression.
The fact is that the other races are seen as inferior to the True Amarr. That this is based in spiritual reasons rather than physical ones doesn't make it 'not racism' to me, because the reasons don't change the fact that the other races are inferior. They are just inferior because of original sin and not because of physical differences. Maybe I'm using the terminology wrong, but for me inequality between the races, regardless of whether it is over physical, spiritual, or cultural reasons is all still racism in my book. I suppose you could go with the term 'ethnocentrism' instead, though even that isn't a perfect description as it judges based only on culture, while it's clear that at least conservative Amarr still look down even on those who are perfect examples of Amarr culture yet are not pure True Amarr by heritage (see Udorians).
Really, it'd be something like religio-ethno-racio-centrism (I could see it being called amarriocentrism in-universe). It's a mix of religious superiority, cultural superiority, and racial superiority. The racial superiority originates with the fall from God and Amarr rather than physical differences, but returning to God and Amarr does not grant full equality with the True Amarr.