Update:
1) We have hidden the WordPress Site icon with CSS (not sure if that is important)
2) We are now using the Disable Search Plugin but this doesn’t seem to stop the LDD search from searching the whole site
3) When we disable the Buddypress Global Search plugin, the LDD search turns up no results – showing that it was only searching the BuddyPress member database before and taking you to the member’s profile page (redirect to 404 error page)
Please advise.