Possibly strange thinking on my part due to liberal largess with regard to brandy butter and new year's champers but I'm not sure about the use of the word "yaw". To me yaw is movement about the a/c local vert axis, not the world's.
I think that's a world model for which we should blame the brandy butter HWD.
The aircraft is rotating about its "local vert axis" (as well as rotating a little about its axis running wingtip to wingtip). You seem to be suggesting that the nose of the aeroplane does not rotate relative to the nose of the aeroplane, which is doubtless true but not very helpful from a mechanical point of view.
To do the mechanics, you have to look at the angular velocity relative to an inertial frame. Once you have identified that angular velocity, it may be helpful to consider its components in the directions of the axes of the aircraft, and apply all that complicated stuff Euler talked about. But the angular velocity is the same (pseudo-)vector in any inertial frame, and in particular for aerodynamic effects, the frame of the air.
In other words, it
is yawing.