I'm a little confused. Does Mr. Enslaved Writer want to see the video game equivalents of character-focused, low budget movies, or does he want to see low budget video games that do the same kind of stories as character-focused, low budget movies? Because while the first is debatably a thing, the second is not: video games are not movies, so no one should be expecting a video game that perfect simulates a type of movie.
Now about the first sense, if that's indeed what he meant. Where is it written that the development path movies have taken is the model for all other forms of new media? Video games and movies share a lot of elements, but they are very different things. Look at the development of comic books - they didn't follow movie's development history history (they started small and goofy, got big and goofy, then got small and serious, then got big and serious, then got big and goofy, and now you can get whatever kind you want). If anything, games seem to be mirroring that development path.
Finally, I must of course mention that small, character-driven movies equivalents are not necessarily anything games should be aspiring to. So let's say there is an equivalent type of game. Do we want it? Is it fun to play? Will anyone care?
Again, games and movies are different things, and as we all know, you can't compare apples to oranges. Maybe writing for both movies and games has confused the issue for Mr. Enslaved Writer.