I know it isn't a given, however the Local Authority does have the overall responsibility for transportation in the region, including infrastructure.
You can infer from Rotherham's comments that the authority (or he) have looked at the stadium's proposed completion with scepticism.
From the outset, the planning application, with the transportation plan, focused on the use of existing infra-structure, with little scope for development.
They bet on walking, cycling, current bus routes (not many close!) and Sandhills Station (with crowd control enforced) even though they knew the limitations.
Could the club afford to contribute to a new, closer station? Not a chance, when you consider that St James/Baltic will cost circa £180m-£215m!
So with the council not considering a new station as a viable option, the club could either go with BMD as above, or walk away.