I don't think I'm ever going to see him again to ask for clarification, but why do you think he'd say that about sound stage? Maybe I misunderstood him, but I'm pretty sure I remember him saying that if high-quality dynamic drivers are used in a headphone, sound stage is simply an illusion created by how they are placed in the enclosure and their distance from the ears. This, he said, has little effect on the quality of sound... simply an illusion about where the sounds are coming from. May be desirable for some applications, may be unnecessary for others.
If this is an ignorant claim, I'd really like to know why.
It's not an ignorant claim. Sound stage and imaging are "illusions" created by our brain as a reaction to different cues in the sound presented through the headphones. One way of reinforcing those cues is to angle the drivers relative to our ears. A more resolving source or amp will also reinforce those cues.