LinkedIn only shows you authenticated viewers. You have no idea how many automated systems have filtered you out because you didn't include a link in your resume/application or because, as you said, the account has no connections or activity.
Do you know of any such automated systems or are you just making that up? I've never heard of application systems or ATS that looks for a linkedin URL in PDFs, extracts it along with employment information and validates it against what's in the resume, or a form that validates that a given entry leads to a valid LinkedIn profile, and that the profile corresponds to the one that was submitted. Recruiters; yes, and those will show up - and they haven't.
