It's not so much the structure, it's more the absence of more social science-oriented courses in the curriculum. Ideally I wanted a program with a balance of public health and social sciences, in terms of the theoretical approach, methods, and practice. When I was interviewed the POI told me straight forward that the course load is not too strong on social theory, and that behavioral models dominate more than other social science approaches. He also said that it's a short PhD, with some student finishing in three years, and ideally no more than four.
It's definitely not a deal breaker, the POI said in my interview that the program would feel more like an Applied Medical Anthropology program that's more focus on practice than theory, which is still attractive.
I also have my doubts about the location. I live in California, and I am hesitant about the idea of moving to Pittsburgh.