Hi Jackson,
I am sorry for the delay of this reply.
Regarding your issue, we recently changed the behaviour of the toolbar search where, the search will first return you the keywords that matched your input, and you will need to select the one of the keyword to perform the actual search. However, it seems like a lot of people mis-understand this and think the keywords suggestion are the actual results. Another thing is, when suggesting the keywords, there is no privacy checking. Joomla smart search will just return any keywords that match your input irregardless the access level.
Anyway, I've discussed with the team and we decided to revert the toolbar search behaviour back to 1.2.x search behaviour. Meaning to say, we will not show the keywords suggestion anymore, we will instead to perform the actual search. The disadvantage of this is that, the loose search might not working properly as Joomla smart search do not search for loose keywords ( wildcard search ).
And for the field privacy, currently we cannot tie the field privacy during the search with toolbar search simply because we do not have control how Joomla smart search perform the search. What we can do is, during the user indexing, we will check if the content from the field is viewable or not. E.g. the email field, if user set the email field to 'only me', then when the user finder plugin attempt to index the data for this user, the plugin will not include the email.
Hope the above make more sense for the toolbar search and the above mention changes will be available on the next coming release of EasySocial.
Hope this help and have a nice day