Good list, and the ordering by hit rate is the right way to present it. I would add one check near the top, ahead of the mesh study: does the report state what question the analysis was supposed to answer, and does the model type match it? A linear static analysis submitted to justify a part against a vibration durability requirement is wrong before any mesh consideration applies, and it is a surprisingly common submission because the static model already existed. Establishing the intended question first also tells you which of your later checks actually matter — mesh convergence on peak stress is critical for a fatigue assessment and close to irrelevant for a global stiffness check.
On your fourth point about singularities, the useful follow-up for a reviewer is to ask for the stress at a defined distance from the singularity rather than to reject the result. If the analyst can produce stress at a consistent offset across two mesh densities and the numbers agree, the result is usable even with a singular peak in the plot. If they cannot, the peak is all they have and the conclusion does not stand. That reframes the comment from an argument about meshing philosophy into a specific, answerable request.
