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Elastic scattering of protons from 6Li and 6He is studied in the intermediate-energy region (EP 3 100 MeV) in a folding model with .realistic. target densities which reproduces the r.m.s. radii and a range of electroweak data. The scattering clearly reflects the size of the systems, but is only marginally able to discriminate between details of the correlated valence structures of the two nuclei: at forward angles, where the direct fingerprint of the presence of a halo structure is expected, the cross-section differences are small; at large angles, where the response of the .*-core on the halo structure is probed, the differences found are accompanied by a falling cross-section magnitude. Likewise, only a weak dependence is found to differences in the halo tail, corresponding to three calculations for "Li which all reproduce the experimental r.m.s. radius.