These issues have existed for a while, but perhaps without resolution?
When you go to view the full profile from a profile-based search, all the fields are clickable but the actions after the click are inconsistent. For example:
Click on a website URL - goes to the website. Click on an email link - goes back to the profile list search results for that email address. Click on a text-type field - adds that to the search criteria.
I would rather have email fields trigger an "emailto:" type action.
And in the specific instance I'm working with, it would probably be best if text type fields were not clickable at all in the full profile.
All profile fields are set to Expose publicly and for listings
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Wordpress 4.7.5 CiviCRM 4.7.17