Absolute magnitude vs. host-normalized offset R_norm for long GRBs (J. S. Bloom et al. 2002; P. K. Blanchard et al. 2016), short GRBs (W.-f. Fong et al. 2022), SN Ic-BL with and without a GRB (J. Japelj et al. 2018), and LFBOTs with reported host offsets: AT2018cow (S. J. Prentice et al. 2018), CSS161010 (D. L. Coppejans et al. 2020), ZTF18abvkwla (A. Y. Q. Ho et al. 2020b), AT2020mrf (Y. Yao et al. 2022), AT2023fhn (A. A. Chrimes et al. 2024b), and EP240414a. At the top and right-hand side of the plot the distributions in R_norm and absolute magnitude of the GRBs and the SNe Ic-BL are shown, respectively. The black solid curves on top of these distributions indicates the density of the sum of these distributions, similar to the 2D density underlying the populations in the main figure. When compared to the long-GRB population and the SN Ic-BL population, EP240414a has a large normalized offset, which is more in line with that of short GRBs. In the small sample of LFBOTs, AT2023fhn has a normalized offset similar to that of EP240414a. The absolute magnitude of the host galaxy of EP240414a is similar to that of the brightest hosts of GRBs and LFBOTs.