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It could signal that this person goes against the grain, maybe has a disagreeable personality, too cool to join the herd, might put up a fight about being asked to do other things. Some of these qualities can be very valuable, but most hiring managers don't know how to leverage these qualities. Tech people might be impressed, but hiring managers who live their lives in LinkedIn could be put off. Imagine trying to get a job as a recruiter without a LinkedIn profile. That would be impressive.