hi there, I had a look at the haynes manual and its confusing (but they are not renowned for their perfection!)
I have worked out that there is a solenoid on the engine bulkhead, next to the ignition unit (ESC, or ESCU). when you put it into gear, the gear selector closes a switch, which operates the solenoid electrically.
the solenoid has two tubes going to it: one to the inlet manifold, the other one to the carb. when the solenoid is operated, it connects the two pipes together, so causes the inlet manifold vacuum to operate a device on the carb, which increases the idling speed.
I am pretty happy thats how it works, but the confusion is that the haynes manual wiring diagram shows an electrical connection to the carb, not the pneumatic (vacuum) one it shows elsewhere in several places! I think its this diagram thats wrong, not the other bits, for which there are photos.
I am concerned tho about your mechanic. there is no such thing as a throtle potentiometer, as far as I can tell. also he said there was a connection from the device he replaced to the ESC/ESCU: the connection is directly from a switch operated by the gear selector, the same switch that operates the solenoid, so unless he has replaced something inside the car I am sceptical.
I think on balance I would be looking around for another mechanic! where do you live? I might be able to help you out.