I think the kind of animal has nothing to do with the mentality of person who would intentionally harm an animal just to cause emotional distress to another person. That behavior is psychotic whether the animal killed is a mouse or a horse.
>>...just to cause emotional distress to another person. <<
Hate to break it to you, but anyone alive who has passed through puberty has done that - more than once. It is what human beings do, especially at that stage.