Malbec is right.
The police never check to see if you're "legally" here, even when you are reporting a robbery (which eventually you will).
You will still have to pay the overstay fine at EZE when you leave.
If they do tell you you can't return for a specific period of time, just go somewhere else until then (of course if you "live" in Argentina you have a problem).
Meanwhile, stop going to Uruguay and supporting all of the businesses who prey on paranoid foreigners who are only trying to stay "legal" and just forget the whole "perma-tourist" thing.
BTW: Until we see at least a few more posts reporting similar experiences to LeavingBA's, there is still reason to doubt there has really been such a severe "crackdown" AKA: policy shift at migraciones.