What I find sad is the mindset that all videogames are for kids. That isn't even remotely true and infact, most serious gamers are adults. Sure, there are games for kids, but there are also plenty targeted at older audiences.
When it comes to stories in games, there are games that are made for the action and gameplay, like the strategy games already mentioned in this thread, and then there are games that are made for the story. The Last of Us does have a good story, but there are also games out there that have even better ones. Final Fantasy X and Grandia II for instance had phenomenal stories that I personally enjoyed just as much as any novel I've read, if not more so.
HareBrain is right though about the gameplay content adding to the story. It immerses us in the world. It's the games version of book narrative that describes what the character sees, it's part of the world building. The only difference with games is that we have to go looking for that description ourselves where books the reader gets given it.
There is also plenty of story content that isn't part of game cutscenes. Many RPGs have books stashed around the world which the player can read at will. In those books are history tales and narratives about the world. Once again, in a book you'd be given all that in the character's narrative at an appropriate time where in the game you have to search it out yourself, but when you do, it can often be quite rewarding.
Anyway, getting back to the original point of the topic. It has become my belief that younger reader expectations if anything are what's being influenced by visual media. We can see it in the fact that the leisurely scenes which take a stroll around the world, giving us nice vivid description and beautiful world building, that used to be popular back in the day, now appear to be discouraged because many readers want us to get right to the point. They want action first, description later, if at all. Open with a whiz bang fast pace, like they do in the movies.
It seems to me that modern visual media has made new generations of readers impatient.