Intrinsic value in animals

I disagree with J. Baird Callicott (P.110) who has the idea that intrinsic value is only present when human beings are present to give something value. I believe animals can value things intrinsically, maybe not as many things as humans can.
An example of this would be the idea of alpha and beta beings. A male lion who is the leader of his pride is the number one in that group. He gets to eat first, has first choice over any female he wants to mate with. If some lion chooses to eat before him, go after the best female, or challenge his authority, he knows his own place and knows it is his right to go before him, and this other lion doing so will anger him because he knows it is his right. Same goes vice versa, the lion who is ranked lower in the pack knows his rights to do things are smaller than most. Pets valuing the presence of their owners are another example of intrinsic value. As we intrinsically value the presence of our pets because they are cute or just happy to be in the present with them, they value are presence also. Many dogs are much happier around people rather than being alone. We feed them and give them shelter, but our pure presence in a room won’t harm or help their survival, it just affects them in terms of well being.