Brian, I'm in complete agreement with you. Instantaneous centers can be plotted in space but they are always changing--with the small caveat, as Birly points out, that the orbits/circles of shoulders/hands/clubhead become increasingly concentric as the downswing progresses.
I think it's a mistake for instructors to start rigidly assigning centers--such as the head or eyes, or even sternum--because they come in danger of trying to make the body move in a way that would be alien to other athletic movements....all others. And everything in my being tells me that this can't possibly be correct.
To compromise what could be a fluid athletic motion so that the "eyes can have a better targeting equation" when golf instructors really don't know what that means...well, I certainly can't break it down for you. There is obviously some truth to it, but it must be mega-sophisticated. And if it's so sophisticated (for example, we've all had the ball move in our backswing and still had time to reconfigure, and strike it reasonably solid) then why can't our central nervous system adapt to "some" movement just as well as if we kept our head dead still?
The body has to pivot efficiently--with some lateral movement, and a lot of rotational movement--and the head just rides on top of the whole thing, and learns to deal with it. And the head, eyes, proprioceptors, inner ear mechanisms, vistibular-occular blah, blah, etc, will deal with it just fine.