How to switch between FPSController controlled camera and fixed camera

Hello, I am using FPSController from Unity standard assets.

Sometimes I need to switch from FPS mode to drawing mode, in which I use my mouse to draw lines on the screen.

I tried the following code in Update():

         if (state == States.Drawing) {
             if (Crosshair != null) Crosshair.SetActive(false);
             if (fpsController != null) fpsController.enabled = false;
             Cursor.lockState = CursorLockMode.None;
             Cursor.visible = true;
         }
         else {
             if (Crosshair != null) Crosshair.SetActive(true);
             if (fpsController != null) fpsController.enabled = true;
             Cursor.lockState = CursorLockMode.Locked;
             Cursor.visible = false;
         }

Where fpsController is the reference to the FPSController component.

When I enter drawing mode, my mouse is released, but after a click ,it's captured again and the fpsController is still working. I suspect that fpsController.enabled = false is not working at all.

Is there better way to do this?