The radiative heat transfer in arc plasma models is considered from the point of view of its description in terms of a net emission coefficient, the method of spherical harmonics in its lowest order, and the discrete ordinate method. Net emission coefficients are computed, applying approximate analytical and numerical approaches and a multi-band representation of the spectral absorption coefficient with three kinds of its averaging and two datasets. Self-consistent access to the radiative heat transfer is applied to a two-dimensional axisymmetric model of a free-burning arc in argon at atmospheric pressure. The results obtained from the models employing the net emission coefficient, the method of spherical harmonics, and the discrete ordinate method are compared. The dataset provided here supports results in the article [Baeva, M.; Cressault, Y.; Kloc, P., "Comparative Studies on the Radiative Heat Transfer in Arc Plasma and Its Impact in a Model of a Free-Burning Arc" 2024, 7, 631–650, https://doi.org/10.3390/plasma7030033]. In particular, the obtained approximate net emission coefficient and the net emission coefficient based on the P1-approach and the DOM for cylindrical isothermal plasma are provided.