Patent writing: Does the electric rotary control device include a motor, that is, does the motor fall within the scope outlined above?

Whether the electric rotary control device includes a motor depends on the specific technical scheme.

You can't tell from the name whether it contains. "Electric rotary control device" is a relatively advanced device name. From the name alone, it is impossible to determine the component contained in this device, because it is not clear what the actual function of this component is.

For example, if it is understood as the control device of rotating equipment, this device may not include a motor at all.

If it is understood as a kind of rotation control symmetry that can realize rotation, this device may need to include components that realize the rotation function, but the components that realize the rotation function are not necessarily motors!

To sum up, I think according to which sentence you provided, it is impossible to determine the functions that can be realized by the generalized "electric rotation control device", so it is impossible to determine its structure.