Did Darth Vader save Luke in episode 5?

When Luke fell down the exhaust tube, a vent opened and he fell to the bottom of Cloud City, where he used the force to call Liea. Did Darth Vader open the vent because he didn't want Luke to die? And did he not kill Luke because he knew that Luke could save him from the Emporer? - "Luke, you can destroy the Emporer."

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