Effect of different choices for the covariance modelling for the inference of S₈ using the KiDS-Legacy data. Shown is the marginal maximum posterior and the corresponding 68% intervals (one σ) interval normalised to the fiducial settings assuming realistic pair counts and including feedback parametrised by T_AGN via hmcode2020 (Mead et al. 2020), the SSC and nG contributions, an idealised mixed term, a realistic survey mask, and the NLA model. Each blue data point replaces one of those assumptions at a time. Left: real space correlation functions. Right: bandpowers.