HR does get the emails. Multiple emails telling them your EAD is about to expire. A couple months before, and they keep receiving reminder emails and they will get with you.
__________________
Renewal Delivered
06/17/2014
797c-----------------
06/23/2014
Biometrics letter --
06/30/2014 Done
06/30/2014
Expiration Date ---
09/11/2014
Approval Date ---
09/02/2014