I think that's one of the reasons 4e really works for my group. What you're calling the 'narrative burden' is viewed by us as an opportunity to be creative. We provide the narrative that describes/explains/positions the mechanics within the in-game fiction. We prefer to do this, mainly because we prefer the
shi stuff we make up ourselves over that of some game designer who doesn't share our influences, sense of humor, and naked, adulterated brilliance

!
For example, in the absence of a satisfying explanation of how the 4e paladin's marking/divine challenge worked, I added/substituted my own, which was clever, vulgar, and wholly inappropriate for publication in a game aimed, at least in part, at kids. And thus one of our campaign's great running jokes was born, not to mention the part of the characterization of an entire race and culture.