NOTE: I tested this in 1.9 on demo - so "may" be working in 2.0. Please either verify or fix.
I set up a front-end item on our Joomla demo for Profile Edit using gid 1. When I'm logged into the front-end as admin (with the usual pw) - the profile does NOT load the name and address data for the admin's contact record. It should do so.
(This does work properly in the back-end. btw).