It would definitely be nice if there was someone on the ward to take care all of the admin crap, so that I could get on with using my brain or learning new skills. I think I spend half my day on the phone, being on hold, or chasing people. That's where the shortfall is and where auxiliary support might be helpful; not in needing someone to go to theatre or do clerkings - I'd like to do that myself thanks.
But then again, if universities marketed the PA course as essentially "the worst bits of junior hospital medicine, for the rest of your life", I think people would think twice before applying.