Do you mean someone with U.S. and with a Vet Dad would get SSDAC? I am not trying to pick on you . . . I am trying to understand.
No, that's not the way it works.
I'll try to explain it from a personal perspective:
My son received Survivor's Benefits monthly from the age of 6 as a result of his father's death. He was not qualified to receive SSI because he was receiving Survivor's Benefits. Survivor's Benefits are based on the amount his father had paid into the system during his lifetime, and are awarded as the deceased individual did not reach the age necessary to collect their retirement benefits from SSA. Those benefits stopped when he reached the age of 18. At that time, as long as he was still a student, he could have transferred his eligibility to SSDAC, and continued to receive benefits until age 22 based on his father's income because he was disabled (deaf). He chose not to continue with the benefits.
After the age of 22, if he is not working, or is working only part time and not making sufficient income to be considered self supporting, he could apply for SSI. He has not applied for those benefits, either.
His father was also a veteran, but the only benefits he received as a result of that was a small stipend to assist with his educational expenses. And when I say small, I mean very small. Those funds do not come from SSA, but from the Veteran's Adminsitration.
Also, because his father was a deceased veteran, when I decided to relocate to place Him in a deaf school, I received a one time award of $1000 from the Veteran's Adminsitration to assist me with moving expenses.
I, as well, was entitled to Survivor's Benefits as the mother of a minor child with a deceased father that had paid a considerable amount into the system. However, my income was above the level for eligibility, so I did not receive benefits. If a mother qualifies for these benefits, they are based not just on the amount the spouse has paid into the system, but the mother's income as well. Disability does not figure into the equation: death of a spouse and child's age are the crtiteria. Likewise, if a father is left with dependent minor children after the death of a wife who has worked and paind into the system, he and his children are eligible to apply for Survivor's Benefits as well. Parental Survivor's Benefits stop once the child has reached 16 years of age, the parent remarries, or the income of the surviving parent reaches the level of cut off.
Hope this helps to explain some of it.