If Snape could close his mind directly to Voldemort then why would The Dark Lord risk enlisting Snape as a Death Eater. It would be very risky for Voldemort to trust someone who closed there mind every time Voldemort wanted to know something. If Voldemort can't get through Snape's thoughts then in theory neither can Dumbledore putting Snape in control of who gets what information or if he just keeps it to himself.
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