The point about watching the game...thats not really permissible according to many Rabbis, its just an excuse your friend made because its much worse to take an action that completes an electrical circuit (similar to biblical prohibition of lighting a fire) than to just look at something happening...but there is clear guidance about what you are allowed to even read or look at on Shabbos. This is just human nature...we all do the best we can with who we are at any given moment...the Eruv though is a very different mechanism.