He would get them even without PR.
If the axis wins and press him to not accept he still would allow rich jews to pass by. The interesting thing is not Vargas, but Perón. Perón (who was an axis sympatiser) was one of the most pro jewish leaders in Latin America and almost monopolized the jewish imigration in the continent.
And ratlines hence the obsession with argentina on this thread and montefiore had set the groundwork with territorialism.
So, in a world where Jews didn't have an Israel to go to, would the surviving Central European Jews move to Argentina and Brazil, followed by Middle Eastern Jews around the 1970s and Soviet Jews in the 80s and '90s? Or would the problems both nations faced drive future migrants to places like Canada and Australia?