Yep. You have a conductor,and an assistant conductor on at least some trains. They are indeed quite busy, going through all the ticketing paperwork, as well as dealing with passenger concerns and anything else that crops up like on-board upgrades, ticketing for passengers getting on the train at unstaffed stations, and then operationally, keeping track (no pun intended) of slow orders and other operating details, and making sure the engineer is observing them, acknowledging each signal that the engineer calls out, etc. They also copy down all new slow orders and other things that the engineer receives from the dispatchers along the way. Conductors can be very busy people if they are diligent.
There are usually (I think) two engineers on Silver Service. Bat51 or OBS can tell us more about that staffing. Listening to Road from here at home, with a fairly decent antenna and a good receiver, I can follow a train for something close to 40 miles, and I frequently hear two different voices coming from the "front office". By saying the conductor calls out the slow orders, that is just a reminder, as the engineers have a copy of all that info in the cab as well. The conductors and engineers must have a current printout of all existing train orders before the train is allowed to depart. I once heard a train recalled to it's origination station (it had just left the "barn") when the dispatcher realized that the information the train crew was departing with was several hours old. He really chewed them out on the radio for the fact that they had not printed out the most recent information before departing, and rescinded their permission to enter the main.