It seems that you will be able to receive benefits as explained.
Is the VA working towards making it possible for more family caregivers getting access to this program?
Yes they are. Firstly family caregivers of Veterans who were seriously injured in the line of duty on or before May 7, 1975, will become eligible for this program. After 2 years  family caregivers of Veterans who were seriously injured in the line of duty between May 7, 1975, and September 10, 2001, will  also become eligible.