Bookworm,
No. Something has to make the aircraft yaw...Thus if you want a constant yaw rate, you must apply an into-turn yawing moment yourself.
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.
My take on it is thus (assuming an aeroplane free of adverse yaw): When you bank the nose drops (however slightly) due to weathercocking (as SpekeToMe put it) and loss of lift, that is the only yaw I can perceive and is induced naturally by the design of the aeroplane without any need for the slightest touch of the rudder. Naturally this is countered by increasing the the horiz stab downforce (add power and/or up elevator) which holds the nose up, reduces the yaw and induces the turn.
I really can't see where the rudder enters the equation within the context of an adverse yaw free turn.
