can't go there with this sentence as written. while yes we dont need our heads locked in a vice to recognise a soundstage, to evaluate you need your head locked. ......
OK, maybe the wording was imprecise - what I mean is we seem to be able to sense a change in sound stage without or heads being fixed in a vice because we use this "purposive motion" to change the angle of incidence of the wave or envelope to our two ears & analyse it's new presentation, thus giving us a better fix on location - I don't know what processes are involved here but it is a different process from how we perceive the location of an object if it moves by analysing the sound from that object.
My simple reasoning is that if this weren't the case we would be very confused by the real world & the fox would never get it's prey