I was an unusual little kid--and a girl, not a boy, though that's not terribly relevant to the story. Not really sure what else to tell you. I don't think I progressed intellectually any farther than most people do, but I did progress faster, which was especially noticeable when I was young. I have the handwritten list my mom made of the 100 words I could use correctly by my first birthday. My earliest vivid memory is of my 2nd birthday party. For all I know, I may also have been very close to turning 4 at the time this story took place, but I know my being 3 contributed to his unease, and I know I was reading at 3. It's not a brag. Being an unusual little kid (honestly I usually just say "weird") just added another perspective to the parent comment.
The person you're responding to here was clearly emotionally triggered by your anecdote. I wouldn't spend too much time trying "convince" them that what you wrote is true.
I haven't read the underlying paper so maybe they addressed this, but: couldn't this just be because sedentary/unfit people tend to drive everywhere? So they're involved in more car accidents than healthier people, who walk places more.
Also if you're fat and don't exercise, you've got a lower chance of surviving emergency surgery after a car crash, or swimming to safety after falling in water, or dodging a knife ... I don't think it's a given that physical fitness is unrelated to surviving those things.