My experience of being deported (another country) is that the first official, the one you deal with at the passport check, will flag you as suspicious. You will then be led away and have an interview. If you pass the interivew (this included basic background checks) then you can go. If you lie, even about a small thing that really has no bearing on the situation, then you're finished. It is not the interviewer who decides, and he/she has to run it by a supervisor, who is the one to make the final call on whether you are deported or not.
You get a phone call (again in my experience), but having someone on the outside in the airport is no good, unless they can somehow prove and verify your story. They are not allowed to come and see you. If you are to be deported, you are placed in a "cell" with other people in your situation (these could range from a mother and child seeking refuge to Hannibal Lector) until the next available flight to ship you out. If the cell is cold and you only have shorts and top, too bad, they do not let you look at your bags (which are retrieved for you by the way) and do not care. The officials range from obnoxious to nice, and some of them individually move through those moods in the space of minutes. I forgot to mention that they also search you, and I mean search you, but if you are a woman then you will have a woman do the search. The people can be utter dicks, there is no chain of command at all, no one to complain to. It is one of the only situations where I have felt I was in the company of people who operate outside the law.
When it is time to go back, you are escorted through the interior of the airport with one or two officials and also escorted onto the flight. On board the plane you are treated as a normal passenger.
Of course, Argentina could be very different to that and I doubt they go to those precise lengths, but that was my experience.