This looks a whole lot like what the Feds are REALLY mad about is bogus VA claims, but the easiest thing to prosecute is falsifying the FAA form.
Disability fraud is rife in Workers Comp, Social Security Disability, and yes - regretfully even in the VA.
Money going to these programs is finite. Money going to people who don't actually warrant it is subtracted from that available to cover those who really do warrant it. When they went to MEDEXPRESS they made it simple to retrieve all this data. You had to assume they would eventually use it as a tool to detect fraud.