Hi Ahmad,
Happy to let you know that the functionality you were looking for is now accessible through Velo APIs, which would give you better ways of controlling site members privacy when using Velo.
https://www.wix.com/velo/reference/wix-members
https://www.wix.com/velo/reference/wix-members-backend
Specifically the a method to allow you to set profiles to public can be found here.
https://www.wix.com/velo/reference/wix-members/currentmember-obj/makeprofileprivate
If you have other concerns regarding privacy please let us know and we’ll do our best to address them.