Posterior distributions in a representative subset of ULA mass bins for the X-ray scaling relations (top) and the optical scaling relations (bottom). The large discrepancies in the astrophysical scaling relation model parameters between the m_a = 10⁻²⁵ eV mass bin on the one hand and G24 and the remaining mass bins on the other hand indicates an unphysical posterior distribution in the m_a = 10⁻²⁵ eV ULA mass bin. Consequently, the concerned mass bin is excluded from the analysis.