According to this source, they are still considered as such.
https://www.petfinder.com/helping-pe...ights-animals/Under most state and federal laws, animals primarily are regarded as property and have little or no legal rights of their own. Because of this status, generally there is a presumption—provided no law is violated—in favor of the owner’s control and use over the best interests of the animal. If, for example, someone decides that the family dog or cat becomes “too much trouble,” the animal companion can be legally relinquished to a veterinarian and euthanized.
What do you think?
P.S. I don't actually know how accurate "petfinder.com" is, but that description matches my vague impression of the current state of animals rights. Correct me if I'm wrong.