No. Again, this is obviously wrong on the facts. There are hundreds of millions of dogs in the world that are no one's property and that are not considered property by any law.
This is why I say the comparison is deeply confused and unhelpful. It starts with a statement about dogs being "property" that is obviously wrong and then completely ignores the fact that a running AI is someone's property.
If you want to get anywhere, you've got to drop the comparison with dogs and deal with the fact that an AI is someone's property.