Create a plugin for the Profile module

+1 for this functionality. This would enable us to share user info with group admins without having to give them permission to view all profiles of a particular type, nor view user info.

This would make perfect sense in contrib, seems like someone already tried and abandoned it: https://www.drupal.org/project/gprofile →

I reckon people who are interested in this module start there and ask to revive the project or take it over.