Mesh-focused cases do tend to enable a better airflow than solid closed-front designs and that’s simply because it’s easier for air to get in. Closed panel designs typically only use small vented zones to facilitate airflow, and sometimes, it’s a little restrictive.
That’s not to say that a well-made solid front case can’t compete at a near-mesh-level, but if you check out any of the ‘best airflow case’ lists, at least 90% of them well have a mesh front panel. Do bear in mind; however, that mesh doesn’t always mean better airflow.
If the mesh panel is clogged up with a bunch of unnecessary or ill-designed filters, airflow is going to be just as stilted as it is with a solid panel case.