Hmm... that's going to be a bigger challenge. Inhibiting the Producing controller object (if it does anything) is going to inhibit all the connections.
The technique for inhibiting a Module uses an SSV instruction; Class Name = Module, Instance Name = (object name from the I/O tree), Attribute Name = MODE.
A value of 0 is "un-inhibit" and a value of 4 is "inhibit".
Check to see if the Consumed tags break when you Inhibit the Producing CPU, and we'll go from there.