@nesher: Good news! It works!
I used the TUIO simulator and a UDP Forwarder I downloaded from here:
and I was able to control the computer remotely.
Now it is time to start testing the hardware setup.
I also verified your assessment concerning the priority of mouse effects: even when I am controlling the computer remotely with the simulator, if another user touches the mouse the touch events are interrupted, so yes, the mouse has a higher priority.
I will post the same reply on the other discussion.