There is no such thing as "external IDF medics". If you're putting some medic in uniform you have to pull him from some healthcare provider or hospital.
Why? Some people who are recruited as medics into IDF wouldn't have thought about being medics before that. They also have to serve their Army service either way.
Those who are on active duty are... on active duty. So you have to pull someone from the reserve. So instead of doing what they are doing at normal jobs they would be doing what IDF tells them to do. And no one would be doing their normal jobs.
Right, except a IDF medic in reserve may not work in healthcare day-to-day. Similar to combat soldiers, intelligence officers and listeners -- all working a different job since they finished military service.