A two-piece wearable absorbent article (such as a diaper) including an outer cover, and particularly, an absorbent insert for use therewith, are disclosed. The insert has a fastener component disposed at either or both a forward region and a rearward region thereof, for fastening the insert within the outer cover. The end of the insert associated with the region bearing the fastener component may have a specified stiffness, to help the insert to retain structural integrity while fastened within an outer cover and while being worn. The insert may include an end support stiffener that helps impart stiffness.