On Friday a Manhattan crowd stood and cheered for Chelsea Clinton at an event hosted by the show-business magazine Variety. For the former first daughter, it was only the latest media ovation. Ms. Clinton has recently appeared on the cover of the fashion magazine Elle and received positive press in the New York Times and elsewhere for her allegedly compelling tweets. But not everyone in the media is cheering. And for voters on both the left and the right, it’s not clear whether the Clinton machine’s promotion of its next potential candidate should be welcomed or discouraged.

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