Indies have been using interactive, integrated storytelling for a long time now (ever play Cave Story? One of the best, integrated stories in games I have ever seen). This isn't some new thing. If you think anything is going to change in the mainstream then I believe you are wrong. It is far easier to tell a story through cutscenes than through gameplay and it is easier to understand for the casual player also.
I think we've already started to see the change. Brothers have been well received, as was Walking Dead - and neither game is as relient on cut scenes as many other games. Give it time. I think we'll see more and more interactive story telling. Nowadays, these things starts small and grow big: the AAA doesn't innovate as much anymore, but indies have taken on that role, with the big block busters following suit later on and implementing some of the new ideas.
Like I said, this isn't a new idea, indies have been doing it for a while. Yes, indies will continue to innovate and bring great stories to gaming but I don't think it will reach into mainstream gaming any time soon...there may be a game every now and again that uses integrated story telling but you wont see it become the standard this gen (thats my prediction at least).
You could just as easily argue that games are moving away from story and into set pieces and gameplay by pointing towards Titanfall (which has next to no story) and Infamous (which has a story but its fairly typical and more of a means of progressing the gameplay than anything), two of the biggest releases of the year