A linkage assembly for a tool trap of a wireline pressure control equipment (PCE) stack includes a first linkage member and a keyed shaft positioned within an opening of the first linkage member. The first linkage member and the keyed shaft are configured to rotate together to transfer a force generated by an actuator to adjust a plate of the tool trap from a closed position to an open position. One or more gaps exist within the opening between the first linkage member and the keyed shaft to enable relative motion between the first linkage member and the keyed shaft to enable the tool to drive the plate from the closed position to the open position without back driving the actuator during withdrawal of the tool across the tool trap.