Is it correct to assume that the pressure field in most CFD simulation on laminar incompressible flow is likely to be more accurate (ie. closer to the truth) than vector field?

Or put in another way, is it easier to get good pressure data compared to velocity? Easier in the sense that a not-so-good mesh and/or a first order momentum upwind can still produce reasonable pressure data.

Thanks

I prefer to velocity, though knowing the pressure field can be use to find velocity field and also opposite condition.