We reconsider the prospects for observing a dimension-6, CP -violating operator involving W + W − Z at the LHC. Firstly, we correct a number of earlier calculations of the loop contribution to the the neutron electric dipole moment of a companion operator, involving W + W − γ, showing that measurements imply a very strong bound on the companion operator. Secondly, we quantify the link between the two operators, showing that strongly-coupled new physics could only be observable in proposed searches if it appeared at a scale below ∼ 170 GeV. This is most unlikely, given the null results of other searches at the LHC and elsewhere.arXiv:1309.7822v2 [hep-ph]