Within the ocean engineering literature, and, particularly, within the wave energy research and hydrodynamic fields, different methods can be found that aim to identify a finite-order parametric model to represent the radiation force convolution term of the well-known Cummins’ equation. Such an approximation process is required for several reasons: firstly, to obtain a mathematical representation that requires low computational effort and, secondly, to ease the model-based control/estimation design procedures. Recently, a new Matlab toolbox has been released to obtain a parametric approximation of such a convolution term based on moment-matching. This paper aims to compare this new moment-matching-based application, with other well-established software. This comparison is based not only on the quality of the approximation, but also on the preservation of the intrinsic physical properties of radiation forces. Three different case studies are used as a basis for the comparison.