The All-Star game used to mean a lot to me in ye olden days before interleague play was common, especially when the NL had the disturbing habit of beating up on the AL which I found personally humiliating.
The only other times when the two leagues met was in spring training, which didn’t matter, and the World Series. So in relation to that, the All-Star game was special.
It doesn’t feel like that big of a deal to me anymore. It seems to be more about marketing than street cred, and being interested in street cred itself is pretty lame, but it’s better than marketing.