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We explore how assuming that mass traces light in strong gravitationallensing models can lead to systematic errors in the predicted position ofmultiple images. Using a model based on the galaxy cluster MACSJ0416 (z =0.397) from the Hubble Frontier Fields, we split each galactic halo into abaryonic and dark matter component. We then shift the dark matter halo suchthat it no longer aligns with the baryonic halo and investigate how thisaffects the resulting position of multiple images. We find for physicallymotivated misalignments in dark halo position, ellipticity, position angle anddensity profile, that multiple images can move on average by more than 0.2"with individual images moving greater than 1". We finally estimate the fullerror induced by assuming that light traces mass and find that this assumptionleads to an expected RMS error of 0.5", almost the entire error budget observedin the Frontier Fields. Given the large potential contribution from theassumption that light traces mass to the error budget in mass reconstructions,we predict that it should be possible to make a first significant detection andcharacterisation of dark halo misalignments in the Hubble Frontier Fields withstrong lensing. Finally, we find that it may be possible to detect ~1kpcoffsets between dark matter and baryons, the smoking gun for self-interactingdark matter, should the correct alignment of multiple images be observed.

Systematic or Signal? How dark matter misalignments can bias strong lensing models of galaxy clusters