J₆ versus J₄ of models including a radiative zone (Z being 3× protosolar above), using the MH13* (Militzer & Hubbard 2013) or HG23+CMS19 (Chabrier et al. 2019; Howard & Guillot 2023) EOS. These models are compared to results by Howard et al. (2023) with no radiative zone nor inverted Z gradient (with Z being only 1.3× protosolar in the atmosphere). The full co-variations of the MCMC calculation using MH13* are given in Appendix A. The circled J shows the Juno measurements (Durante et al. 2020) and the error bar accounts for differential rotation, as in Miguel et al. (2022).