Methods and apparatuses relate generally to a packaged microelectronic device for a package-on-package device (“PoP”) with enhanced tolerance for warping. In one such packaged microelectronic device, at least one redistribution layer includes first interconnect pads on a lower surface and second interconnect pads on an upper surface of the at least one redistribution layer. Interconnect structures are on and extend away from corresponding upper surfaces of the second interconnect pads. A microelectronic device is coupled to an upper surface of the at least one redistribution layer. A dielectric layer surrounds at least portions of shafts of the interconnect structures. The interconnect structures have upper ends thereof protruding above an upper surface of the dielectric layer a distance to increase a warpage limit for a combination of at least the packaged microelectronic device and one other packaged microelectronic device directly coupled to protrusions of the interconnect structures.