Do beings without conscious experiences have buddha nature A philosophical zombie is defined as follows,

Zombies in philosophy are imaginary creatures used to illuminate problems about consciousness and its relation to the physical world. Unlike those in films or witchraft, they are exactly like us in all physical respects but without conscious experiences: by definition there is ‘nothing it is like’ to be a zombie. Yet zombies behave just like us, and some even spend a lot of time discussing consciousness.
Few people think zombies actually exist. But many hold they are at least conceivable, and some that they are possible. It is argued that if zombies are so much as a bare possibility, then physicalism is false and some kind of dualism is true. For many philosophers that is the chief importance of the zombie idea. But the idea is also of interest for its presuppositions about the nature of consciousness and how the physical and the phenomenal are related. Use of the zombie idea against physicalism also raises more general questions about relations between imaginability, conceivability, and possibility. Finally, zombies raise epistemological difficulties: they reinstate the ‘other minds’ problem.

Using this definition, would a being which is &quot;not conscious&quot; have Buddha-nature?
I ask because I want to know if the Buddha is dead and inanimate matter, and inanimate matter has Buddha nature, that means that the Buddha senses what inanimate matter does?
Moreover, I want to know if a non cognition of emptiness is &quot;like&quot; a cognition.
This question may seem speculative, but I think it actually has a basis in Buddhism. There is a class of beings called nonpercipient beings that don't have any consciousness at all. However, they are basically just a body that doesn't do anything, not a zombie per se.

Such a being would have Buddha nature because by the Tathagatagarbha Sutras teach that all beings have Buddha nature.