From a recent report by Social Security's Office of Inspector General (OIG):
SSA [Social Security Administration] policy provides for disability claims filed by current and former military service members to be expedited. SSA identifies these claims as Military Casualty/Wounded Warrior (MC/WW) and Veteran 100 Percent Permanent and Total (VAPT) disability claims. ... VAPT classifications do not guarantee an allowance for SSA disability benefits. VAPT recipients must meet SSA’s disability medical eligibility and entitlement requirements. ...
SSA does not define “expeditious” for processing MC/WW and VAPT claims, have processing time goals, or perform regular analysis of the MC/WW and VAPT claims to identify trends. Therefore, to assess the MC/WW and VAPT processing times, we compared them to the average processing time for all disability claims at the various stages of review nationally and by State. We found the following.
At the initial claims level, SSA processed MC/WW and VAPT claims only 1 day faster than it processed all disability claims.
SSA processed MC/WW and VAPT claims from 37 to 315 days more quickly than all disability claims at the reconsideration, hearing office, and Appeals Council levels.
Average processing times varied across States.
There were processing delays attributable to SSA as well as delays outside SSA’s control.
Finally, SSA designed and implemented internal controls to identify and flag MC/WW and VAPT claims to prioritize the processing of those claims. However, SSA could not provide us evidence that it followed its policies and procedures to ensure staff and management properly tracked or monitored MC/WW and VAPT claims.By the way, I've seen the same sort of thing with other categories where Social Security is supposed to speed review, such as homeless claimants. A "critical case" designation seems to mean nothing at the initial and reconsideration levels but usually a lot at the hearing or Appeals Council levels.

