Many have suggested Argentina specifically became a way for Russia into Latin, South and Central America.
With some of the highest inflation in the world not long ago, corrupt war criminals like Putin maybe able to buy his way there when he loses his war. This goes into more detail:
https://www.kyivpost.com/opinion/13660
If you are ever in any of the Americas or Canada, you’ll often notice too that Argentina is near the most expensive flight to get to usually. Even from that side of the world.
Maybe there is more than meets the eye with Putin’s links to Argentina.
Ultimately, if he does try to run there, it will be up to the appropriate authorities to apprehend him on route.