Is Alzheimer’s disease evidence for the non-existence of the soul?

As Alzheimer's disease kills off neurons, a person's personality and cognitive abilities gradually fade away. Doesn't this suggest that the self or "soul" is simply an emergent property of the brain's physical structure and function, rather than some immaterial essence or spirit that exists independently of the body? The classical notion of the soul as an immaterial, eternal essence that exists independently of the physical body is challenged by the way Alzheimer's systematically dismantles a person's mental faculties and sense of identity over time. As the disease destroys neurons and neural connections, the patient's personality, memories, and very "self" seem to disintegrate, suggesting that these aspects of the human experience are products of the brain's physical structure and function, rather than some non-physical soul.