Not non-existence, but eternal existence without God (which is hell).
No. Non-existence. We aren’t naturally immortal. That’s why the Bible talks about the resurrection. If you are immortal, you don’t need to be resurrected. What are you getting resurrected for if you are not dead and have an existence?
The Bible wouldn’t talk about a resurrection, since there would be no need for one since we exist eternally. It would just talk about getting a new body or the Second Judgement of the unsaved.