Likelihood marginals in the compressed data space for five different sets of cosmological parameters given the anisotropic systematics model within KiDS-SBI over the prior space shown in Table 2. The compressed data values are labelled according to the cosmological parameter with which they are most correlated (see Sect. 5.3 for details). For the orange contours, the input data vector is set to S₈ = 0.694, S₈ = 0.724 for the pink contours, S₈ = 0.754 for the purple contours, S₈ = 0.784 for the purple contours, and S₈ = 0.814 for the blue contours. All other cosmological parameters are taken to be the same as in Table E.1.