Let me put it this way. I have asthma. I haven't been hospitalized for it, but I have been to the ER for severe attacks. The last time I was in the ER for it was over 10 years ago. They still enrolled me in EFMP. They want to make sure that you have the proper care close enough so if you did have an issue, you wouldn't have to delay care. As far as the EFMP paperwork goes, it is a long process. Usually, the doctor will screen your medical history for any EFMP needs. From there, they will send the chart to the EFMP liason, who will review it and send it to the EFMP "panel" (for lack of a better word.) They will decide to enroll or not, and what modifications to your living situation and medical care they can provide. From there, it comes back down through the chain and ends up with your notification.
You can appeal the EFMP decision, but honestly, it's not an easy process, especially if she is still seeing a cardiologist at all. I've not seen anyone successfully appeal an EFMP approval. It's not going to make much difference in her care or your DH's military career. You may not be approved for a remote tour overseas if they don't have the proper facilities to handle a cardio event, but honestly, that would probably be the only issue it would cause.
My child is an EFM and has been enrolled for 2yr. I've had no problems with it and didn't find the process hard at all. You get the paperwork filled out by the PCM and you return it. They do whatever they do and it is on file. You have to update at a minimum of every 3yr or sooner if something dictates a change to the status. It is basically there to ensure whomever is the EFM has the proper medical care in a suitable driving distance. Like we will have to be based somewhere within a suitable distance to a children's hospital.
I really haven't had any issues with the EFM program and haven't found it to be a hassle.
My daughter is enrolled in EFMP. The most helpful piece of advice that a friend gave me was to find the most senior person that you can talk to and demand to speak with them. If they can't assist you each time you call ask them who is most competent in their office and only speak to them. Things have been MUCH easier for us now that we have found someone here at Bragg that knows what he is talking about!!