I think hyd-Jaipur trains not getting response due to good air connectivity at reasonable rates, otherwise there is a lot of demand on this route. Even I travelled by air once from hyd to Jaipur for Rs. 6000 only on return fare basis. It is better to run hyd-jodhpur normal fare SF train via BSR, which will be super hit.
Same goes for adi-hyd which I suppose has good air connectivity.