Oh, that's not true.
In the first 2 hours of the game, your race already is mentioned like 4 times.
Eh, but then it kind of dies out after that point. I'm doing my elf playthrough now, and seeing the dozens more times that his race comes up than when I was a qunari. There's all these special lore and language things that elves get to talk about. And yeah, our character wouldn't necessarily have connection to the Qun, so a bunch of Qun lore wouldn't fit either, but we would still have an awkward relationship with the human world we're close to, and I wish that could have come up more. All those times people asked me whether I believed in Andraste, I wish I could have reminded them that the Chant of Light doesn't talk about people like me, rather than a generic yes/no/I don't know.
I don't know, I feel like it's actually kind of lonely to be the only female qunari in the entire game, which is a cool aspect of playing one, but I wish something in the game addressed that.