Broadband colours are often used as metallicity proxies in the study of extragalactic globular clusters. A common concern is the effect of variations in horizontal branch (HB) morphology -the second-parameter effect -on such colours. We have used UBVI, Washington, and DDO photometry for a compilation of over 80 Milky Way globular clusters to address this question. Our method is to fit linear relations between colour and [Fe/H], and study the correlations between the residuals about these fits and two quantitative measures of HB morphology. While there is a significant HB effect seen in U − B, for the commonly used colours B − V , V − I, and C − T1, the deviations from the baseline colour-[Fe/H] relations are less strongly related to HB morphology. There may be weak signatures in B − V and C − T1, but these are at the limit of observational uncertainties. The results may favour the use of B − I in studies of extragalactic globular clusters, especially when its high [Fe/H]-sensitivity is considered.