I ran WoD games for a few years. I agree that the "scene" mechanic worked well for it. There are, IMO, two reasons it's okay for Storyteller but not D&D.
1) Storyteller is intentionally footloose. It is designed to enable the telling of stories, not "well-balanced" mechanical play. In otherwords, it's fine if you're playing rules-light and/or willing to let the GM fiat a lot of stuff. D&D is increasingly minimizing the GM. The more they do so (up to the point they ditch any attempt of telling stories), the less well "per encounter" fits.
2) Storyteller had effects with a duration of one scene, not that were usable per scene. There is a difference.