So when dealing with not-too-complex RBC models or New Keynesian models, we often arrive with a few final reduced-form equations, and as far as I know, we use these equations to estimate the model. For Gali's simple New Keynesian model we have consumption Euler equation, New Keynesian Phillips Curve and some form of Taylor rule.
But it seems that when estimating them, labor data (for example, labor $N_t$ in production function $Y_t = A_tN_t^{1-\alpha}$) seems to be dropped and not compared with model's prediction that can be inferred from coefficients and how reduced-form equations got derived.
Why is this comparison not often done? This seems to be an important indicator for a model..