In Argentina you can probably always pay someone to look the other way. In 20+ years of living and working in Argentina, I've only known 2 people that got denied when they came back from a border run to Uruguay. But this was after many years of living here as a "perma-tourist". But then they waited a few weeks and got someone else and they got back in. I doubt anyone would be locked out of Argentina long-term. Maybe it's different now but I don't know anyone that has been permanently locked out of Argentina.
Let's keep things in perspective. They are letting in tons of Russians. They are allowing all the poor from Mercosur. Peru, Colombia, Venezuela, etc. They are all coming in droves. I doubt they are going to lock out any Americans or Europeans.