Just like you said, it is NOT a warfare pin. I see no reason to hold them to the same standards or requirements. I did weekly training for the medical bubbas and supply weenies on various topics of surface warfare during my deployment on the LINCOLN. The fact that they are even putting forth the effort to get a pin at all is worth something. They don't have to do it. The knowledge they are required to have is all introductory level in nature and is meant to provide a general overview. Everyone that I trained was very curious about the functions of surface warfare and naval aviation. Putting them through a bridge or CDC watch rotation serves no purpose other than make your CO look like a jackass. After all, it's not a warfare pin right?The Surface Warfare Medical, Dental, Nurse, Supply, etc. are not warfare insignia. The requirements to get them are a joke and in no way qualify the holders as a war fighter. They are "feel good" pins that came out after a lot of crying by the staff pukes about being second class citizens.
I was on TR when they first came out. Our CO told all those interested that if they wanted to earn the pin, they had to actually join the bridge watch rotation, qualify in the various watch position and stay on it for the entire deployment. He wasn't going to allow them just to do the BS 5 or 6 "familiarization" watches the PQS required. He said the same about various damage control, combat, etc. requirements. We had 1 Doc out of the initial hordes of staff pukes that was willing to do it the CO's way. The rest pussied out claiming our CO was making it too hard. Our CO just said if they were going to get a "warfare pin", then they needed to know the subject thoroughly.
Besides, an aircraft carrier is a terrible, terrible place to learn about surface warfare.
As for the supply weenies that go to small boys, well get your ass up to bridge and get OOD qual'd. Not because you need to for your pin, but because you're a friggin JO and more than capable.