Never list: human, dog, cat, rodent. Why? Risk of disease.
Yes it's true, ultimately everything animal including manure rots and will turn into plant nutrients. The backyard compost cycle is too short, the temperature is not controlled, and ultimately I would rather be safe than sorry.
Pet manures, like animal bones, I would dispose by digging in around trees or shrubs to let them decompose on the long cycle, far away from contact with fresh veggie foods. Cover them well, so flies don't visit them before they come visiting your vegs.