DND is not a narrative game first. It has very few rules for narrative stuff. The bulk of its attention is spent on resource management and combat. Because the bulk of the game is centered around managing resources (spell slots, HP, sometimes gold), I say it is a resource management game.

It's not very good at facilitating good stories. It's just missing a bunch of tooling like you'd find in Fate or other games. You can still play make believe but you can do that with anything. The rules aren't really helping very much. They often don't care at all about the narrative.

I'll remember stuff like him blowing hold person on a retreating mook when the expertise-in-grapple rogue could have just grabbed him, sure, but not happily.