These benefits (and the gaming of them) are not about receiving medical care. These veterans already get free medical care from the VA. It's about monetary payments. They game the VA disability system to get paid.
The VA has a disability rating system that goes from 0% to 100%. Obtaining a 100% disability rating guarantees a certain amount of monthly income for life. The step increase in pay from 80% disability to 100% disability is large. There’s also a logarithmic function that makes it increasingly difficult to raise your disability rating after each disability claim. Hypothetically, losing your left leg might qualify for 50% disability, losing a second leg might qualify for 75%, and then losing an arm might qualify for 87.5%. Pretty horrendous.
That being said, many service members aim to hack the system by making disability claims for everything under the sun. Service members often collect disabilities such as arthritis, lumbar disc degradation, knee injuries, sleep apnea, and depression. Like Pokémon - gotta catch ‘em all.
That’s not hacking the system - they can’t get examined for something unless they first make a claim. The VA doesn’t perform preemptive exams to see what a veteran may or may not be afflicted with and informing the veteran so they can make the most conservative subset of possible claims.