When groups list or single page viewing is allowed for private groups, they show as "Public Group" because we instruct sites to leave the BuddyPress Group's Privacy Settings as "public".
An option would be something like the code below where we could filter the term "Public Group" based on whether groups joining is public. This is not complete code as is - it is currently just completely hiding the "Private Group" or "Public Group" label.
When groups list or single page viewing is allowed for private groups, they show as "Public Group" because we instruct sites to leave the BuddyPress Group's Privacy Settings as "public".
An option would be something like the code below where we could filter the term "Public Group" based on whether groups joining is public. This is not complete code as is - it is currently just completely hiding the "Private Group" or "Public Group" label.