Yes. The one is focused on the pet, elevating it to the same level of respect and dignity as funeral rites for people.
The other is not - it could be respectful (I loved my pet please bury them by me) or not (bury my jewels and slaves with me) but it still isn't the raising of the pet status to that of your own species.
The other is not - it could be respectful (I loved my pet please bury them by me) or not (bury my jewels and slaves with me) but it still isn't the raising of the pet status to that of your own species.