Depends.
Personally, I'm not a huge fan of animal stories. Is that because there's no romance in them? No, it's because they're full of animals. It's a different issue.
Now, going by the popularity of certain books with non-human protags (not just animals), there are a bunch of people who would love a book like that. Whether they want a romantic subplot or not is another question, and I don't really know the answer.
Given the high number of SF and F writers on the AWWC, I'm guessing the person above was thinking of aliens or sentient fantasy beings, not animals.
Though the huge number of highly successful and famous novels, even adult novels, written from the pov of animals, or with animal characters (Richard Adams comes to mind) of one kind of another, would suggest that your tastes here are far from universal. I like animal stories myself, if the writer manages to make the character relatable without simply being a human in a fur suit.
And for that matter, animals and aliens and so on can have love stories too, though of course, the writer may make them different from the way things work for our own species. And of course, it's also possible an animal or alien will be of a species that does not pair bond at all.
The point as far as I'm concerned, though, isn't whether or not an individual story *should* have a love interest/interests included. It's how to do it (if one chooses to) in a way that is true to the characters involved and balances the expected and unexpected appropriately.
I don't really want to read a story where a love affair comes out of the blue and makes no sense at all (Huh? Ehy does she like
him?), or lets me down hard at the end (but the whole thing built up to their being together, and they'd be perfect together, so why aren't they?) But I also don't want it to be such a zero tension and conflict ride that I never worry or wonder at all.
For a romantic arc to work well, you need to be rooting for the couple, but at the same time, be worried for them too. This helps if they're both interesting and developed enough you can see why they in particular
should be together. An appropriately nice and attractive member of the appropriate gender and orientation who shows up for no other reason than to be a romantic partner is indeed dull.