My LabCorp lab results only get downloaded into my personal message box, and only via the single computer that is connected with the Hyperlink (or whatever it's called; I am away from my desk).
Of course, I am solo; do I understand that there are multiple docs in your practice? If there are, you could still get everyone's results in one message box (in my experience).
That person could be responsible for forwarding the lab results to the appropriate doctor/nurse.