How relevant is empirical evidence in DSGE and macro modeling?

My understanding of your statement above is something like, ‘the effect of a monetary policy shock is not completely zero, even if it is statistically insignificant’. Is that a right way to think about it? So that even if the empirical responses are not statistically significant, we can still estimate NK model for policy analysis.

Is the statement above why I have the following results?

  1. Using initial prior values to simulate my model, interest rate increases and inflation and output fall following a monetary tightening.
  2. However, for the estimated IRFs (using Bayesian methods), all three variables fall following a monetary policy tightening. Is it because the comovement between these three variables is positive in the data, and that the estimated model is capturing that positive comovement ?