Hawaii Through bags question

Returning from an amazing trip with my family to Hawaii tomorrow but I have a question about the interline bags. I've been told the bags will be checked all the way through to London (connecting from HA to VS via LAX) but as I'm in Premium Economy on the virgin flight I was wondering if the bags will have PE priority for collection at LHR? (As the bags presumably wouldn't recieve the PE priority tag here in Hawaii).

Thanks! Would like to get away from LHR as quickly as possible after the long journey.

Highly unlikely, I am afraid.

Got through fine, bags interlined and suitcases given priority. Off plane and through immigration with bags in hand within 30 mins! M25 not so co-operative though :/