I can answer this one as I have red hair (well, that which I have left that hasn't turned silver yet anyway ...)
YES, we have a very high tolerance to pain. Let me give you an example: I broke my right wrist clean off my arm. It was hanging down, the bone broke completely. I broke it during a horrible fall in the middle of the night.
Knowing I had about three minutes before I'd lose feeling and movement in it as swelling set in, I managed to get myself dressed, got in my car, started it (with my right hand) and drove myself to the hospital - 15 minutes away.
I walked into the ER and up to the triage nurse who looked at me, saw my right hand and asked if I needed a wheelchair. I declined.
I was directed towards a triage room, examined, and then my right arm was hung by three fingers on my right hand to get it to straighten out before they'd soft cast it and tell me I needed to see an orthopedic surgeon to get it plated and screwed back together.
They had my arm hanging for 4 hours. No painkillers, no meds, nothing. They kept asking and I kept refusing. Honestly didn't feel like I needed them. When they were done I was discharged and drove myself home.
Saw the orthopedic surgeon later that day and was in surgery a week later where I received two titanium plates and 12 titanium screws to put my wrist back in place. After surgery no morphine, no painkillers, nothing. Didn't think I needed them. Was in Physical Therapy 10 days after the surgery and it took a year to get my fingers working properly again and my wrist flexibility back. I have a hell of a pair of scars showing where my right wrist was put back together.
Then there have been four major lower back surgeries that I've had in the past 25 years which I never took painkillers after, getting my left elbow put back together after shattering it during a fall on ice, two knee surgeries and a hip surgery that I never took painkillers for, but that's for another time.
You know what you need?
Bubble wrap on all your floors and walls.
I am so much the opposite of that. Couldn’t wear braces because of the rubber band pain. Little cuts and what not stop me from doing anything productive.
So redheads are accident prone. ;-)
My late husband was very ginger with clear ligenht blue (very recessive) eyes. a lot of hair on his body, and a very mesomorph body, also a receeding chin that looked better with a beard, and a very hard head, variously hit with a sashweight and a cinderblock by robbers. At 5’11” and 200 lbs, he was sparring partner for an olympic heavyweight wrestling contender. He had a high pain tollerance. He was hit by a car while crossing a street, had severe bruises on thigh and calves and his head struck the windshield. He refused help and walked home 14 blocks (”Because my wife will take care of me a lot faster than the ER”) and I picked 50 shards of glass out of his forehead with tweezers, As a redhead he was not a bully, but was severely bullied. The old men in his small town would say to some other kid, “I’ll give you a quarter if you can beat that redhead.” I think the high pain threshhold may be why Scotsmen were such fierce warriors. I know he was fierce. Perhaps explosive temper is a Neanderthal trait. My father who was Celtic had a more whiplash tember, not explosive. Husband never tanned, but burned easily.
Another genetic anomoly puzzled me. He had those clear light blue very recessive eyes and I have hazel with green, brown and blue traces. Both our sons had dark pure brown eyes from birth. I suspected it might be a somewhat recessive Asian brown gene mixed with my husband’s even more recessive blue eye gene. My brother with dark hair and somewhat swarthy skin told me he has brown eyes. I now remember my mother telling me he was born with a skin pigment on his lower back labeled a “Mongolian spot,” So I guess my sons dark brown eyes come from my 6 to 9% far, far, eastern genetic heritage.