I agree, just suggestions. The purpose of the group (logistically) is for controlling who can post reviews, as I understand it.A change to the name would make it less of an endorsement. Just simply "Provider" tells the story perfectly fine. Verified or Confirmed are words that people can easily interpret as an endorsement.
But then you have a signature if you want to tell people who you are and who you represent, so why need a group at all.
But it could spoof the same title as regular members, and just be for forum permissions, as someone else said earlier...