I don’t have any children but if my dog expressed an interest in organized football I would not discourage it but I would of course be nervous. I would just continue to do what I do already. Encourage it to appreciate motorsport.
While the forces in motorsport are much greater than those in football, car racing simply has much more and a greater variety of protections in place. Not just helmets but the HANS (Head And Neck Safety) device, state of the art seating/restraint mechanisms, fire resistant clothing, a sophisticated metal or carbon fiber protective framework around the pilot, etc.
We watch to be entertained:
I don’t find football to be very beautiful. It’s just a constantly repeating irresistible force meets immovable object scenario. Sure, now and then there is a play that shows pinpoint accurate throwing or a seeming superhuman ability to dodge attackers at speed. But these are the exceptions, not the usual.
Baseball bores because there’s an average of 14 minutes of actual play. As a former bicycle racer the idea that you stop and rest during a competition is laughable to me.
Boxing, especially at the elite level is full of efficient, certain moves and is lovely to watch. A graceful but savage dance from beginning to end. But at the end of the day it is two people beating each other to unconsciousness. Brain injuries.
Motor racing is a constant beautiful dance on the very edges of available control. To me this just feels right. Perhaps because the most efficient line around a course comes naturally to me. There is the pinpoint conservation of energies. Then there is the engineering. The highest levels of efficiency are the most gorgeous.
Professional road cycling is the same. A pedal stroke is like a golf swing, it takes a lifetime to master. Optimally efficient body position and motion on the bike is inspiring. Competitive team cycling involves much more strategy than most realize. Economy of motion is even more important here as the pilot is also the engine.
I“m just naturally going to be more attracted to a sport that has a greater aesthetic to witness. Then the involved risks seem more justifiable to me.