We can see that the moment of death is the most critical: this is the critical moment in the Life of Jesus. And in the Hail Mary we say 'Pray for us, now and at the hour of our death'.
It does create distance between us and this world, which is healthy. It shows us that we are not immortal in this world. (Jesus: 'My Kingdom is not of this world'.) But it doesn't mean we are not immortal.
Death at any time was the same: an ultimate challenge to the person.
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