I would like that Super users can view and edit it by frontemd.
Sorry but Easy Profile 1.3.2 not allow to edit user from frontend. This because EP extends joomla user managment (not replace). From next version we will add this feature (some days).
You can set permission to display these fields with "Visible for" parameter.
example: if you set this on Special, only administrators and owner of profile can see this field. Now the tip on this parameter is poor in next release we will add more details about this.
When no fields available the group is hidden.
I hope this can be of help, unfortunately not understand well what you want.