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When you have a question about whether a trope covers a variation, please go to the trope page for the trope itself and read through the full description. Trope definitions are often explicitly broader than a strict reading of the name (they have to be to have reasonably concise trope names), even before considering the Tropes Are Flexible principle.
The Carpet-Rolled Corpse description addresses this question explicitly, starting with the first sentence (emphasis added): "A classic method for murderers, kidnappers, or smugglers to covertly transport a human body, dead or alive, is to lay it out on a carpet and roll it up inside." It goes on to discuss the use for both corpses and live victims in more detail.
The name isn't great, but the trope description says several times the body in the carpet can be dead or alive.
edit: Ninja'd.
Edited by HeraldAlberichMaybe the title should be different?
Bound and Gagged lists Carpet-Rolled Corpse and then goes to say "if the body isn't dead". Problem is, don't we have a proper trope for "carpet-rolled living body"? Or does that trope count that occasion too?