I sure aint no expert but In the first example the bones on the cape are not moving properly at the extreme positions. Get those behaving and you might have it. First thing I would try is a low poly collision mesh parented to yr rig. If you cant use physics then just skin the cape to yr rig and adjust the extreme positions…
The first example is using a NURB surface that is parented, I am just not sure how to get the cape to behave at the extreme positions. To make the arm joint drive the shawl joints, I created a Connection holding group inside the Offset group, and that is where the connection is housed, to keep the actual controller clean.…