Some do but I think most don't. I find the Edgarhorns to image quite well within a fairly narrow sweet spot. The SP Tech speakers also image well over a wider area. I'm afraid that I can hear the loudspeaker as the sound source with most other horn systems that I can think of offhand; in general the qualities that draw people to horn loudspeakers lie in other areas.
There is a horn loudspeaker in development that images quite well and does an exceptional job of disappearing as the sound source, as the designer has gone to extraordinary lengths to minimize image-degrading and coloration-generating artifacts from both the horn and cabinet. I've heard the prototypes, and intend to become a dealer for this speaker when it becomes available, hopefully within the next few months.
I'm sure my observations here are incomplete, so hopefully others will share their knowledge.
There is a horn loudspeaker in development that images quite well and does an exceptional job of disappearing as the sound source, as the designer has gone to extraordinary lengths to minimize image-degrading and coloration-generating artifacts from both the horn and cabinet. I've heard the prototypes, and intend to become a dealer for this speaker when it becomes available, hopefully within the next few months.
I'm sure my observations here are incomplete, so hopefully others will share their knowledge.