Even in your own examples 0 means different things. It’s not an approximation, it’s wrong.
pid 0 refers to the thing that is running 'myself', not to myself, itself. It is the thing which gave way to allow 'myself' to be executing in the current context.
It is more accurate to say "pid 0 is the source of cpu 'attention' which allows myself 'awareness'", as it discovered I was not idle, and granted me power to proceed with processing ..