I can leave my car and it will still run. I can start other cars. Someone else can start and use mine. We can give it ‘life’ when we start it but we are not what makes it run or helps it continue to run. It doesn’t need us from that point. We can ‘kill’ it by turning it off. But it doesn’t die. And we don’t need to turn it off for it to stop working. I can keep it fed and watered but it just wears out and stops. I am not involved in that process.
Nothing leaves me when I die. I just run down and stop working. I no longer fulfill the requirements of life. As an anology for what you call the soul, it leaves a lot to be desired.
But you have a great argument for vitalism. We should discuss phlogiston next.