  We use the current CMS and ATLAS data for the leptonic $pp \to WW, WZ$
channels to show that diboson production is, for a broad class of flavour
models, already competitive with LEP-1 measurements for setting bounds on the
dimension six operators parametrising the anomalous couplings between the
quarks and the electroweak gauge bosons, at least under the assumption that any
new particle is heavier than a few TeV. We also make an estimate of the HL-LHC
reach with $3$ ab$^{-1}$. We comment on possible BSM interpretations of the
bounds, and show the interplay with other searches for a simplified model with
vector triplets. We further study the effect of modified $Z$-quark-quark
couplings on the anomalous triple gauge coupling bounds. We find that their
impact is already significant and that it could modify the constraints on
$\delta g_{1z}$ and $\delta \kappa_\gamma$ by as much as a factor two at the
end of HL-LHC ($\lambda_\gamma$ is only marginally affected), requiring a
global fit to extract robust bounds. We stress the role of flavour assumptions
and study explicitly flavour universal and minimal flavour violation scenarios,
illustrating the differences with results obtained for universal theories.
