The paper investigates the robustness of the preference for Dynamical Dark Energy (DDE) in the context of recent Baryon Acoustic Oscillation (BAO) measurements from the DESI survey, combined with Cosmic Microwave Background (CMB) data from Planck and Type Ia supernovae (SN) samples (Pantheon-Plus and DESY5). The authors test five alternative parameterizations of the dark energy equation of state (EoS), including the Chevallier-Polarski-Linder (CPL) parameterization, to assess whether the preference for DDE is robust. They find that regardless of the parameterization, the present-day EoS ($w_0$) consistently remains in the quintessence regime, while the dynamical evolution parameter ($w_a$) consistently indicates a preference for a past phantom-like behavior. The evidence for DDE is significantly strengthened by the inclusion of DESY5 SN measurements, with the Barboza-Alcaniz parameterization showing the most significant improvement over the standard $\Lambda$CDM model. The results suggest that the choice of parameterization has minimal impact on the robustness of the preference for DDE, and that current data are approaching a precision that could enhance our understanding of the physical nature of dark energy.The paper investigates the robustness of the preference for Dynamical Dark Energy (DDE) in the context of recent Baryon Acoustic Oscillation (BAO) measurements from the DESI survey, combined with Cosmic Microwave Background (CMB) data from Planck and Type Ia supernovae (SN) samples (Pantheon-Plus and DESY5). The authors test five alternative parameterizations of the dark energy equation of state (EoS), including the Chevallier-Polarski-Linder (CPL) parameterization, to assess whether the preference for DDE is robust. They find that regardless of the parameterization, the present-day EoS ($w_0$) consistently remains in the quintessence regime, while the dynamical evolution parameter ($w_a$) consistently indicates a preference for a past phantom-like behavior. The evidence for DDE is significantly strengthened by the inclusion of DESY5 SN measurements, with the Barboza-Alcaniz parameterization showing the most significant improvement over the standard $\Lambda$CDM model. The results suggest that the choice of parameterization has minimal impact on the robustness of the preference for DDE, and that current data are approaching a precision that could enhance our understanding of the physical nature of dark energy.