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We calculate 1-loop radiative corrections to the hZZ and hWW couplings in models with next-to-simplest Higgs sectors satisfying the electroweak ρ parameter equal to 1 at tree level: the real Higgs singlet model, the two-Higgs doublet models, and the Georgi–Machacek model. Under theoretical and current experimental constraints, the three models have different correlations between the deviations in the hZZ and hWW couplings from the standard model predictions. In particular, we find for each model predictions with no overlap with the other two models.