The binarisation loophole has recently been formalised as an elementary flaw in the analysis of high-dimensional quantum correlations. I will introduce this loophole and discuss its broad consequences. In particular, it impacts high-dimensional entanglement detection whenever one departs from idealised detector assumptions. I survey our efforts towards constructing more rigorous entanglement detection methods and how unawareness of these issues can lead to faking large entanglement from product states.