For other LHs and RSLHs, in particular those based on the t-LMF (which are the most closely examined ones so far), unphysical NDC contributions arise from a mismatch of the semi-local exchange and EXX energy densities. They manifest most clearly as dramatically too large Pauli repulsions in potential-energy curves for non-covalent interactions (NCIs), e.g., in case of noble-gas dimers like Ar 2 (see for example discussion in ref. ). These gauge artefacts can be suppressed by a suitably optimized CF. We have recently found that gauge problems in such curves appear to be virtually absent even without a CF when employing a so-called x-LMF based on a ratio between the same semi-local and EXX energy densities. Detailed analyses of the reasons for these observations were provided by analyzing the middle term of eq. 1. We find the trained n-LMF to feature similar advantages, even though the training data do not include notable NCIs. We typically illustrate the gauge problem and its suppression (either by a CF or by the choice of LMF) by comparing curves like that for Ar 2 in Figure with reference curves using full EXX and the given DC functional (for simplicity of comparison, the