in LBM, one solves the boltzmann equation depending on the various parameters and use a relaxation time to reach equilibrium. NSE are a special case derived from boltzmann equation mostly using Chapman enskog expansion. So basically you are solving a flow problem starting from transient state itself rather than solving on equilibrium state only. While in FVM, FEM, FDM, SPECTRAL methods or other traditional methods which focus to solve NSE. What actually is being solved is approximate algebraic equation derived from PDE(NSE). Essentially algebraic equations are being solved. Conclusively, what actually you are solving is far different than what actual NSE represents leave aside Boltzmann's​ equation. I hope you can understand what advantages or efficient, accurate solution will be.