HEAD TURNER - without body moving

I would suggest looking at a sample puppet, but basically you create profiles of the head under a group and put the head turner in that. If you only have profiles of the full body head turner cannot do anything. You can separate the head from body for turning, or put head turns inside each walk profile. (Or only do head turns in standing profile.) but you need to provide the alternative profiles yourself.

note there are "shared puppets" so you can share a head with head turner and load that into each walk profile to reduce the total effort of rigging face for each body and head profile combination