Disclosed are damper assemblies for engine disconnect devices, methods for making such damper assemblies, and motor vehicles with a disconnect device for coupling/decoupling an engine with a torque converter (TC). A disconnect clutch for selectively connecting an engine with a TC includes a pocket plate that movably mounts to the TC. The pocket plate includes pockets movably seating therein engaging elements that engage input structure of the TC and thereby lock the pocket plate to the TC. A selector plate moves between engaged and disengaged positions such that the engaging elements shift into and out of engagement with the TC input structure, respectively. A flex plate is attached to the engine's output shaft for common rotation therewith. A damper plate is attached to the pocket plate for common rotation therewith. Spring elements mate the damper and flex plates such that the damper plate is movably attached to the flex plate.