Heat pumps are one of the key technologies to reduce CO2-emissions and reach a net zero building stock. However, heat pumps still induce CO2-emissions, which split up into direct and indirect emissions. Direct emissions result from leakages on site and indirect emissions mainly relate to the power consumption. In particular, the refrigerant choice influences both direct emissions due to its global warming potential, and indirect emissions due to the efficiency of the heat pump. Thus, the refrigerant choice is crucial to minimize the overall emissions of heat pumps. When selecting a proper refrigerant, several evaluation methods exist in the state of the art. In this work, we analyze the influence of the evaluation method on optimal fluid selection. Four methods are employed: Efficiency-based method using the seasonal coefficient of performance (SCOP), Total Equivalent Warming Impact (TEWI), Life Cycle Climate Performance (LCCP), and Life Cycle Assessment (LCA). The study includes ten refrigerants. For method comparison, the study includes refrigerants with either a high GWP or an ODP greater zero also to account for the sensitivity with respect to the evaluation method. The investigation shows only minor differences between the studied refrigerants when comparing the results of SCOP, TEWI and LCCP. The refrigerant ranking is not influenced by the assessment method. Main reason is the high share of the indirect emissions and thus, the dependency on SCOP. Using the LCA, the main difference occurs for refrigerants with an ODP. Using current regulations (zero ODP, GWP < 150), we conclude, SCOP comparison is a sufficient evaluation criterion when selecting refrigerants.