Ah, but why would you want that? Caverns are where all the fun is at!
1) FPS. Even if you don't reveal the caverns in your fort, they will still have things happening in them. Removing them entirely will reduce pathfinding animals, flowing water and generally make world thinner.
2) Avoiding FBs in worldgen coming out and killing your single-fortress civilization.
3) Reducing the lethality of sieges. With caverns off, it would be hard for cave-dragon riding goblins to lead a troll battalion when they don't exist.
4) More stone and ores to mine without taking extra step across z-levels. Caverns can be relatively low on empty space, granted, but that still requires securing them and planning how to mine multi-z pillars.
5) Variety/walking distances. Caverns can be somewhat distant while a savage/evil biome surface can be right outside, providing different animals than caverns do. Additionally, surface plants have much greater variety than cavern ones, though this doesn't bar one from using both of course.
6) Thematics - whether it is perhaps considering chemical process insufficient for tree and megabeast growth without light or wanting to run an aboveground fortress (with perhaps elven or human civ[BLAZECOOKS has this a fair bit, though still making use of the caverns eventually]), it can be pleasing to play without plump helmets.
+ probably some others I'm forgetting.