Frankly, what you describe woud drive me crazy. I think you, your parents, your doctor, etc. should decide which it is and then stick with it.
Maybe the best way to get this done is to assert yourself. Talk to your parents (they can be valuable allies whether or not you need their approval) and decide which you think it should be. There may be funding and insurance issues you should consider, so ask. Once you decide, then insist that everyone else do it your way. You don't need doctors, nurses, or hospitals who don't respect you.