There's no reason that a personality matrix on a wafer has to be nondeterministic--that is, "random." Sure, the default has free will and all, just like the real person, but you can program that out so that ten copies of a personality will all make exactly the same choices given the same inputs.
Of course, "given the same inputs" is a slippery slope. Butterfly effect and all that.
Wait. Why would you want a personality advising you without free will or randomness? Surely you could just run simulations on a computer to achieve the same result. the whole idea of having a personality wafer of your superior there is that it can react in the same way as the original and advise if not order you to take a particular course of action.
In other words, if you program out all the humanity, why not go all the way and remove the crew and turn the warship into a drone, or give whatever task is required to a robot of the appropriate type?
In Agent of the Imperium, the agent personalities all have Imperial Warrants -- so they trump everyone in the chain of command. I don't think we see what happens to the general and admiral personalities, but I would guess the personality activates with its own rank?
Which makes me wonder. A naval officer given command probably also has some kind of Quarantine training to identify situations where you need to activate the Q agent wafer. And mostly, these are going to be WtF situations -- if you don't understand what's going on, you spin up the agent just to be safe.
But for a general, when do you activate a general wafer? It is basically advising you on something you are already supposed to be able to handle. Wouldn't it be seen as throwing in the towel to call up a wafer daddy to tell you what to do?
Okay I particularly ignored AoI because the Agent is empowered by Imperial Warrant.
Actually I assumed all those special wafers, Warlord, General etc. would be backed by Imperial warrent because they are what you turn to when the situation transcends the normal chain of command.
When I was reading AoI I started to wonder if the depiction of Imperial services were of a slightly dumbed down or neutered population. Those ships crews got themselves in a situation over and over where they got stuck. they got stuck, they checked the computer and it said activate the Agent....
Now I wonder if they were the equivalent of NPC crews and would real
Travellers have had the where-with-all to take the steps the Agent did?
But back to the question. Lets say the AoI wafers are backed by their Imperial Warrants or equivalent. Your Admiral Adair only has her commission and orders appointing her to command the fleet. If she starts commanding by wafering herself to every ship in the fleet, or at least every task force flag ship, what happens when one of those copies gives an order that leads to a loss? Does the Admiral or the wafer go before a court of inquiry? What happens if the task force commander refuses to follow the orders of the copy?
The simplest way I can reason this out is the copy isn't in the chain of command, its presence is only advisory, like having very detailed orders that cover lots of contingencies. Now any officer that ignores orders (or a copy of his or her boss) will be in trouble unless they have good grounds for doing so.
[Edit]This is how I can best fit wafer tech in without changing what I'd call the human responsibility culture. If you can micro manage across interstellar distances using wafer copies, then that takes away a lot of the responsibility that Traveller assumes is placed on the Johnny on the spot.
Think of it this way as it applies to the game: With wafers the Patron can always be with and in control of the group of PCs. Now play that game....
I'm not sure about ten "mes". 
