All but the most historic games are forgotten almost instantly, and even the most historic games have a very limited cultural life.
How many people care what happened in baseball in 1971 - never mind 1921?
Meanwhile those people are still reliant on applications of quantum theory, which was first described in 1900, even if they're not aware why it matters to them.
The bigger problem with sports is they encourage superficial tribalism and even racism.
This was very obvious in the UK during and after the Brexit debate. Vocal Brexiters seemed to think "winning" and "losing" were a team event, and most - especially those with football team flags on their Facebook profiles - literally didn't seem able to understand that there would be hard consequences for the country as a whole which went far beyond the immediate result.