Weeellll. Not exactly. I think it's more complex than that. If it's in a room, you'll hear dispersed sound. Acoustic reflectivity of that room dictates how widely the sound disperses. (thus the width) If it's outside of a room (or in really big perfectly treated room), you don't hear reverb at all and the "dry" signal goes through natural air dampening of low and high frequencies.

Yeah. It really depends on what environment you have in mind. But imho it's not alyways "far = narrow reverb".