What is a soul in your universe?
Is it the person themselves, riding the body in life?
Then the body is now comatose, autonomous functions like breathing and heartbeat only.
Is it a sense of ethics and morals, right and wrong?
Than they are now amoral. Not necessarily bad, but with a child's ignorant innocence.
Is it the vehicle consciousness rides into whatever passes for an afterlife?
Well, then things get interesting, as for most purposes it makes no difference. But spells like Soul Jar or Trap the Soul might have no effect, but death might leave them trapped in their body, dead but unable to pass on.