If he only plays competitive shooter games then it's reasonable to not date him.
If he plays story-driven singleplayer games that tell stories, develop characters, have lore and backstores, etc. then he is literally reading books all day when he plays games.
I literally just got done with a game that told a great story and was reminded that I basically just read a book. I learned just as much about the human condition as a book with this story. I also was inspired about a story of an alternate future where humanity has to escape the planet before it's destroyed. All these things I just learned could have been learned identically from a book.
If you think story-driven video games can't develop peoples minds the same way as novels then you might want to rethink it.