Who doesn’t care about animal rights?
As a human I think it’s important to care about animal rights. Some humans care about animal rights more than I do and some humans care less than I do.
What isn’t really debatable is that most animals don’t care at all about other animal’s rights. They will do all sorts of violent and disturbing things to other animals (of different species or even their own) to meet their needs or just because they feel like it.
The notable exceptions are animals that are either trained by humans to care (in the case of pets and farm animals) or situations where animals depend on each other for survival.