A machine includes a frame having ground engaging propulsion elements coupled therewith, and a hydraulically actuated implement system having a linkage, an implement coupled with the linkage, and a hydraulic actuator coupled with the linkage. The machine further includes a control system having an electronic control unit configured to receive an implement down force control command, and responsively adjust a pressure of hydraulic fluid in the hydraulic actuator such that the implement rests with controlled down force upon a substrate below the machine. The controlled down force may be less than a quiescent down force of the hydraulically actuated implement system. Related methodology is also disclosed.