As a generalization, yes. Each academy (and I think ROTC too) sends a request to DoDMERB when you complete a certain percentage of your application. DoDMERB then either opens scheduling options for you, or if you have already completed it, sends your results to the SA. As a result, each time a SA checks your status with DoDMERB, you will get a letter from them stating you are qualified for that SA.
Example: you are already USAFA qualified medically, so when you complete a certain percentage of the USNA application, USNA will request DoDMERB information about you and you will receive another letter that says you are medically qualified for USAFA and USNA