  We question the use of triangle diagrams in the broken phase of the Standard
Model Effective Field Theory (SMEFT) to derive sum-rules on certain
dimension-six coefficients, as recently put forward by Cata, Kilian and Kreher
in Ref. [arXiv:2011.09976]. Indeed, the aforementioned sum-rules are violated
at tree level in simple consistent BSM scenarios. The underlying reason is that
gauge-invariant combinations of Goldstone bosons and massive gauge fields are
allowed to couple to matter currents which are not conserved. We show this in a
toy model by computing the relevant triangle diagrams, as well as by working
out Wess--Zumino terms in the bosonic EFT below all fermion masses. The same
approach applies also to the Standard Model and it provides a convenient and
unusual way to check that the SM is anomaly free. We then apply similar
techniques to the SMEFT in presence of various dimension-6 operators.
