Have you ever heard about helicopters? There are hospitals that have them. Why do we need _personal_ airplanes for this to happen? Why you think doctors will have money or space for their own airplane when they have no helicopters yet?
In this scenario of yours where would this doctor have their "airplane" at home? In a airfield?
If he can drive and that’s not an emergency why wouldn’t take the train ? Less stress and more safe if he’s impaired.
For an emergency I would suggest a professional-driven ambulance with flashing light, or an helicopter if it’s remote if your wallet or country medicare afford it.
Oh thanks that makes sense! Those "flying doctors" already exists in Australia and one of them saved my life 13 years ago : landed on a single lane road on the middle of the desert to pick me and my friend in a thought condition after a car crash. We arrived in the hospital 2 hours later, instead of 12 hours car drive. IIRC it was a small propeller plane looking simple and not so new or fancy. Didn’t remember the flight :( they quickly nailed me to dream after landing.
In this scenario of yours where would this doctor have their "airplane" at home? In a airfield?