The investigation of favorable operating conditions for sCO₂ cycles for waste heat recovery is a process that requires a proper analysis of operating parameters, component design, and economic performance. In this aspect, examining the heat exchanger has preponderant significance. In this study, as part of the Carbosola project, a thermoeconomic multiobjective optimization of the sCO₂ cycle is analyzed based on a one-dimensional design of the heat exchangers, focusing on the recuperator. The main objective is to investigate the effect of the non-linearity of the CO₂ properties in the heat exchanger geometry and on the cycle performance. The results highlight the significance of the one-dimensional investigations in the optimization process, while sensitivity analyses indicate the recuperator as key equipment for the optimal cycle operation. Furthermore, the examination reveals the influence of the CO₂ properties characteristics at different operating ranges and its effects on the system's equipment design and thermo-economic performance. Finally, the results indicate a prominent potential of the sCO₂ Preheating architecture for heat recovery from gas turbines.