recognize [natural] entities as having "personhood" or legal rights comparable to humans
I'm against anything but humans being granted the same rights as humans.
We can discuss what legal rights should be granted to which entities, or which entities should share some rights, but conflating different entities like humans, dogs, corporations, mountains, or AIs, as one and the same thing, is a recipe for disaster.
It sounds to me like a case of "to someone with a hammer, everything looks like a nail".