Honestly, I’m not sure the setting is all that recognizable in a first-hand kind of way, but the big tropes of goofy roadside attractions are still very much in popular culture. It does improve the kitchy flavor of this game though, making its vibe even stronger.
I played through most of the Lucasarts games several years ago, and Sam & Max was one of my three favorites, maybe even as high as second to only the original Monkey Island. Just a great game, and it has inspired me to jump back in to other adventure games for the time being.