The comparison I've been making for domestics lately (and again, I really only want/expect maybe 3ish "barnyard" species plus the dromedary) is that they'd be similar to the red fox. A lukewarm at best reception on these forums in particular, but overall they're going to be instantly beloved. I can see them, goats in particular, going over incredibly well across the Reddit/Twitter/YouTube populace. Compare this to the red fox, where many on these forums act like it's the second coming of the Himalayan brown bear and the wombat was the only reasonable habitat species in that pack, but on the whole the fox has ranked at the top of literally every poll I've seen on those other sites, and usually by an appreciable margin.
Goats? I doubt they would be welcomed by the community at all, if some players slandered on the Przewalski's horse for being "just a horse" I can't imagine the outrage of just getting a lame ibex clone such as a domestic goat, specially when any other wild caprine would be so much interesting to have. Besides, while the red fox is popular (because haha fluffy cute and widely known mammal zzzz), it is still a wild animal + an animal's popularity among the general public doesn't always equal to a good addition to a zoo game. I think a more comparable example would be getting a Pallas cat in a highlands pack or the ocelot in a forests pack (imo both are really poor additions, but they are still very popular animals on the internet because fluffy and cute (zzzzzz) so they would be basically guaranteed).
Additionally, I don't think a domestic pack would have that much of an appeal unless it has something original like a duck or a rabbit, and even then the duck and the rabbit would have to be wild species to be interesting additions so it doesn't really make sense. Besides, focusing on domestics over wild animals when the game so profusely tries to sell its focus on conservation is a pretty big bruh moment, in that "polemic" regard a marine pack stands a way bigger chance if you ask me.
And I agree with what others said, ducks aren't really bound to a domestic pack, they can perfectly go in a birds or even forests pack (I had mandarin duck in one of my wishlists for example, because it lives in East Asian forests). A rabbit could go in a forests pack or in the so often mentioned highlands pack. Other "interesting" domestics (yak, dromedary, whatever) also fit in overall more interesting themes as well so we aren't really losing anything of value.
Anyway I need swan, duck and rabbit!!!!