If we have a holographic doctor, then why don't starships, space stations, etc. reserve a holodeck specifically as a secondary sickbay? Or at least have an "emergency sickbay" program ready on the holodeck, that way if there are multiple injuries you can have how ever many doctors and nurses, beds and instruments you need ready in the holodeck. All you need is a medical supply closet outside the holodeck (or inside if they could make that work).
Well I know why - it would be less dramatic for TV! Haha...but anyway, just a thought.