Micah Sweet
Level Up & OSR Enthusiast
I'm not sure what a "kicker" is.Which gamers are you talking about? You seem to be describing pathological or degenerate cases. I have a lot of play experience, using a range of RPG systems - Rolemaster, Classic Traveller, 4e D&D, Burning Wheel, Prince Valiant, just to name some of them - which belies your assertion.
The way to introduce "story" into a game is to let the players contribute to "story". For a group wanting to experiment, and using 5e D&D, I'd suggest starting with 3rd level PCs and getting every player to author a kicker for their PC.
And what if you're playing 5e, and the group doesn't particularly want to experiment? Are we back to players not caring about the world unless they get to invent stuff?