I think it depends on the organization. I have never worked anywhere where the HR team had such a large role in hiring - that was not part of their mission. They freely acknowledge they were not qualified to do that. In all of my experience - at mid - large- size companies, the HR people did very high-level phone and resume screenings, if that. After that, it was up to the hiring manager and team. I've also heard of those "personality" tests being used as tie-breakers. But never to reject an otherwise highly qualifed - and preferred - candidate.