  Recently, discrepancies of up to $4\,\sigma$ between the different
determinations of the Cabibbo angle were observed. This "Cabibbo-angle anomaly"
could be explained by lepton flavour universality (LFU) violating New Physics
(NP) in the neutrino sector. However, modified neutrino couplings to Standard
Model gauge bosons also affect many other observables sensitive to LFU
violation which have to be taken into account in order to assess the viability
of this explanation. Therefore, we perform a model-independent global analysis
in a Bayesian approach and find that the tension in the Cabibbo angle is
significantly reduced, while the agreement with other data is also mostly
improved. In fact, non-zero modifications of electron and muon neutrino
couplings are preferred at more than 99\% CL. Still, since constructive effects
in the muon sector are necessary, simple models with right-handed neutrinos
(whose global fit we update as a by-product) cannot fully explain data,
pointing towards more sophisticated NP models.
