Frankly I prefer it if there aren't any, because of the way they are treated.
In The Undateables, there are two puppies tied on a very short leash in a house's entrance/yard. Every now and them someone petted them. They also had a little house each. But they were always tied up, and we saw them exactly like that in scene after scene, while they become quite big.
In 17 but 30, everyone makes a big fuss of Peng, but nobody ever takes her for a walk. Or maybe they do but we just don't see it. However, he or she is not tied up, at least.
We also saw a turtle in Father is Strange, and although the actor character was supposed to adore him, he was disregarded afterwards, when the writers forgot about him. It seems that in dramas animals are no more than props.
Generally - although there are exceptions - I don't get a vibe of a people of animal lovers.
And... there are still 1700 dog meat farms in Corea.
Of course, as a vegetarian, I don't feel eating dogs is more shocking than eating lamb or calf or chicken... Yes, dogs are more intelligent and capable of varied and profound feelings, compared to other mammals, but their capacity to feel pain and psychological distress is exactly the same as the others. And that is what matters in this case.