There are levels of eligibility for a veteran, depending on their service in the military. Some veterans are eligible for a more comprehensive menu of services than other veterans, depending on whether they served during World War II, whether they served in combat versus in peacetime.
A person could be a veteran, for example, of peacekeeping and not be eligible for health care services as a veteran, even though they are a veteran the same as someone who served in the Korean War, for example, who has lost their vision later in life, not as a result of the Korean War. Simply they are a veteran of the war, so therefore they're eligible for services, but another person who did peacekeeping is not.
It's the levels of eligibility that are at issue.