I'd say it depends on whether the kidnapper is the murderer.
If the kidnapper isn't, then making it part of a ploy to pressure Natsuhi might make sense. Problem is... Krauss knows too, right? You have him presumably as your prisoner. Why can't you put pressure on him?
If the kidnapper is the murderer, they gain little from killing Krauss and less from letting Natsuhi believe he's alive. You don't make demands and then kill the hostage before they've been met. Natsuhi hasn't cracked on Kinzo yet, so even if you planned to kill off Krauss in the end, you'd want to wait until he's no longer necessary.
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