As we know, PADI has quite the imagination when it comes to inventing itself as an authority on everything and everything that a diver does between waking up and going to sleep, and tacking a price and "certification" on it.
Listen to the EMS/EMT/doctors here, check for breathing, and get your patient the hell out of the water as soon as you can. Yes protect the airway and spine if possible.
I am still waiting on my PADI Advanced Breathing on the Surface (or not) card.
The PADI Rescue Diver Course is slightly more than a merit badge (and product) under their payment program. It finally spends a little bit of time on some common sense things that were for some reason not already covered in prior courses that introduce people to a life-threatening sport, some of whom still cannot swim, manage buoyancy, check their tank and regulators, or handle a mask replacement underwater, despite being given a certification card for "mastering" those skills exactly once or twice under close babysitting from an overworked, overbooked, and underpaid PADI 'contract employee'