Xenophobia, the need to repudiate something that is anathema, I don't know.
If we have the Sirwitta/Cimoira issue as a case study, the halfbreed girl was integrated back into the Cunoroi and considered "of the tribe". Anasûrimbor Sanna-Jephera, another halfbreed was integrated into human society, then the Anasûrimbor line goes on. Maybe the issue isn't the miscengenation in itself, but the fact that the Anasurimbor decided to become part of human society and repudiated Nonman culture. Like a human deciding to go into the wilderness and join a sranc tribe, something so utterly absurd so as to be worthy of contempt.
Honestly this reminds me of Elros and Elrond from the Silmarillion. Two Half-Elven twin brothers: the one decides to become fully human and become the first King of Numenor, the other decides to become fully Elf and becomes a great lord of the Noldor.
I like this, particularly the Elros/Elrond bit, which I never thought about at all in relation TSA and definitely seems like it could be an influence.
This is more of a crackpot idea from me, but I do think it's a part of the story in some degree, if not this exact sense, but:
There are a couple references to the "secret of the Anasurimbor blood", the one I'm remembering off the top of my head being the showdown with Maithanet, Inrilatas, and Kelmomas.
Regardless, my suspicion is that, similar to Dune, there are basically two "families" that the Consult (or someone) has been surreptitiously breeding together in order to create some kind of Kwisatz Haderach. One family is the Anasurimbor, the other is/was the Ikurei. They are like the Atreidies and Harkonnens.
One of these two (not sure which) have blood from the Inchoroi in their line. The Inchoroi (particularly Aurang) are very much like the biblical "Watchers", or fallen angels, who bred with humans to create the nephilim ("giants"). The Nonmen might be the Nephilim analogue, but I'm not sure it works quite like that. It might just be Nonman blood, but the Inchoroi's similarities to the Watchers and so on is pretty hard to dismiss.
Now, the name "Ikurei" has two possible etymological roots that I can think of, though I'm certain there are plenty more. The most obvious, I suppose, is that Ikurei looks/sounds very close to "Ichor", which in Greek myth is:
-the fluid that flows like blood in the veins of the gods.
-any blood-like fluid.
-(archaic) a watery, fetid discharge from a wound.
More obscurely, it could be from the Yoruba mythology/language, which I've thought might be a linguistic influence on the series for a little while now.
In Yoruba, there is
Iku, the name for Death, King of the Ajogun (demons).
Rei is very common in multiple languages as the title of a king or ruler.
So yeah, I dunno lol. Even assuming the whole Ikurei/Anasurimbor thing is true, I'm not sure which makes more sense to have been the one with the "accursed blood". Gut reaction is the Ikurei since they're the "bad guys" and I definitely don't think the name was pulled out of thin air, but it really could equally apply to the Anasurimbor. Also "they're the bad guys" is, I suspect, a misguided way of looking at just about anything in the series for now.