With screenshot and video recording built in for so many years, this kind of rolling recording is a natural fit. I suspect most gamers will ditch Nivdia ShadowPlay.
I've been using Steam's recording feature since beta and it works quite well. One disadvantage (or advantage depending on how you look at it) is that it doesn't save raw footage, but only already compressed video which makes editing more difficult. I'm hoping they introduce the option to choose how it's saved in the future.
It'll be nice to have this on the average user's PC, just like every current console and some previous do.