The efficiency of s-CO2 power plants is usually reported as over 50%. However, on taking a closer look, a major component in the cooler is usually missing. This component can be a pump or a compressor which drives a coolant which is usually water or air. Its work is usually neglected. The present work considered three different case studies reported in the literature but without a pump or a compressor for the cooler. These studies have reported efficiencies of about 40 to 50%. However, we have reproduced these studies, validated and then introduced the compressor and pump on the cooler side near the main compressor. It was found that there is a drastic drop in the efficiency, more than 50% of the original efficiency, especially if a compressor is introduced when the cooler operates with air. The drop in efficiency is only marginal, about 2% points, when using a pump for water cooling, which negates the advantage of using free air. Hence it is concluded that in all studies, the pump or compressor which supply cooling water or air respectively must not be ignored.