I don't intend to convince you or get convinced. To me, the answer depends on the purpose of the question.
I'm curious now instead why you'd grant rights to entities that don't have an "I". Isn't that pointless? Or is it a mistake on my part, i.e. maybe there's no "I" but there's still a "you"?
In the "you" case, do you think the thought experiment could be reframed as an attempt at answering the question "where is the you?"?
I think an "it" can have rights. I'll go back to the horse. It has a basic natural right not to be beaten because it's a creature that can experience pain, not because it's an "I."
The legal system (at least in the U.S.) seems to need to call something a "person" in order for it to have rights (e.g., corporations), but I don't think the legal system is the origin of rights.
"I" and "thou" go together as references to personhood, so I wouldn't distinguish between the two. (And I'm mostly using "thou" here instead of "you" to show I'm referring to the concept rather than you personally. The "I/Thou" philosophical concept also has precedent of using the term.)
I'm curious now instead why you'd grant rights to entities that don't have an "I". Isn't that pointless? Or is it a mistake on my part, i.e. maybe there's no "I" but there's still a "you"?
In the "you" case, do you think the thought experiment could be reframed as an attempt at answering the question "where is the you?"?