In the context of finite-time thermodynamics, a comparative thermodynamic analysis between the ecological regime and the ecological efficient power regime, recently introduced, is done. The study examines the Novikov energy converter model with a linear heat transfer law when performing under these regimes. To make the proper comparison, through the so-called compromise functions, a modification to the ecological efficient power energetic function is proposed. It is found that the thermal efficiencies are very similar to the appropriate ones of the modified ecological function. However, notable differences are obtained for the optimal efficiencies from a thermoeconomic optimization analysis.