If my memory is correct, based on what Bajo_cero2 has posted, if you apply for the visa rentista and your application is denied, you will leave migraciones with a deportation order, which you can then choose to ignore if you wish, but reapplying "every six to 12 months" after receiving a deportation order will probably result in your arrest at migraciones the first time you try.
PS: You should be allowed to stay in Argentina until your entry permit (plus a 90 day prorroga if you get one before you apply for the renstista visa) expires, but after you aplication is denied, you will be better off if you stay away from migraciones, except at the airport on your way out.