Is "being dead" important to solve Zork I

In Zork I, after a certain point (which I have no idea what is, discovering the altar perhaps), if you die, you are transported to the Entrance to Hades, and you are in a dead state. E.g. typing diagnose
will confirm that you are dead.
In the dead state, there is very little you can do, e.g. you cannot hold or pick up items, as your hand passes through the items. The only thing I have found out so far that I can do in this state is to move to the Altar and pray, in which case I get revived.
Subsequently dying seems to end the game.
Is there an important puzzle that can only be solved in the dead state?
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How do you complete Zork?
Loosely attached to a wall is a small piece of paper.How do you come back to life in Zork?
The route from the Entrance to Hades to the altar is:How do you open the trap door in Zork?
Open the window and enter the house (you're in the kitchen), then go West into the living room. Get the lamp, then move the rug, revealing the trap door.[Borderlands] Pandora Pirate Radio
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