LinkedIn formerly had a very handy link to export the contact details in vCard format. This allowed me to easily add those details to my personal address book, which I carefully curate. They removed this presumably to keep one in the walled garden of using LinkedIn as the address book.
No, that exports the whole address book. LinkedIn formerly had a link on each contact page that allowed you to download the vCard for that person. This was handy when trying to ensure you have the latest information for a particular person. If I use the export page you pointed to, I'd have to resolve conflicts for every entry at once.
