Most folks find physics Bohring, but it's not Fermi.
Mythbusters is still fun to watch, and they occasionally do some serious science, whenever they can pry themselves away from the pyrotechnics. One of those "dangerous jobs" programs featured replacing a number of 30+ ton dipole magnet beam sections for the LHC. That was fun to watch, even if it was presented from the technical level of a master crane operator.
Why sports activities have so much interest (as opposed to science) has always puzzled me. Don't ever bother me about whatever team has carried a ball down a field to make a goal, and projectile motion involved in such sports is the most boring part of physics. I might watch sports if there were more serious injuries and we could follow the injured players into the operating rooms. Otherwise, I'd be more entertained watching paint dry, ducks swimming in a pond, listening to good music, read a good book, feed pigeons, or just watch a sunset.
That was an interesting post and I agree with the broad brush you stroked , but all "sports" are science in action and all people can actively or passively participate for a favorite cause.
Theoretical science is "contemplation", Applied science is "participation". These are different dynamics.
But IMO, it is undeniable that the more one understands how we relate to our environment, the more we are able to enjoy and appreciate the applied science and the team or dividual who has mastered the science of their chosen field. A casual observer may not know the science, but they recognize it when the science is executed to perfection, resulting in an advantage.
I believe it is connected to the "mirror neural network" where the greater the experience (not knowledge) the greater the empathic response. That's why "world class athletes" get paid millios of dollars. We empathize physically with the athlete or the action.
But if we added all the active participants in theoretical excercises on fora such as this, you'd find a sizable number of laymen such as myself. I am fascinated with theoretical science and I am fascinated with applied science, including sports, and just about everything we touch today. How popular are sci-fi movies and internet games?
But unfortunately there are few theoretical scientists who are also great storytellers. Asimov, Clarke, Sagan, Tyson, and a few others have fostered much more interest in science than ever before, except perhaps some of the other Golden Ages. Socrates, Plato, Galileo where theoretical science was encouraged and flourished and became the foundation of knowledge today.