I agree 100%. And I send resumes rather than LinkedIn profiles. I've worked in corporates in great teams and HR have been, well, HR (an industry where people generally end up after being unable to do whatever else they wanted to).
But perhaps you don't want to work in an organization where parts of the organization are allowed to suck? Where hiring is considered important enough for resumes to go straight to your manager? There's a not a lot of these places, but they're often the ones with the top talent (and they're likely to find your resume than you have to chase them).
In one sense, it's an indicator that they don't think the way you think.
This could be the kiss of death for a junior job seeker, but for those people who are more senior, experienced and can be choosers as opposed to beggars, it might be an OK screening method.