Wanting to insert a new element, in hook in after_archive_title, this is still positioned in after_archive_description. I hope this problem is solved, I would like to place a button under the title of my category and tag archive pages..
the archive description is hooked into the after_archive_title hook with a Priority of 10. So you simply need to set the Priority to a lower value eg. 5 to position an element before the description.