I only do the sourcing, and the HR side I leave to recruiting. The bottleneck in the process is the sourcing, and I have no desire to do HRs job.
On statistics, they only care about the statistics for their own sourcers and processes. There is no regulatory reason for collecting such stats.
Another thing to remember is HR is the weakest organization in any company, and recruiting the weakest in HR. Any manager worth their salt pushes recruiting around, not the other way around.