There is no advantage on taking an Airbus A320 series or B767 type rating without at least 500 hrs on those aircrafts.
The most important thing is to fit into the LAN Airlines pilot profile during the psychological tests.
I have many friends who have flown thousands of hours in heavy jets but they didn't pass the psychological test and some others with only 1000 hrs on small singles and very few hours in multies and they did it because their personality fits in the LAN profile.
I would not say that somebody who pass the psychological exams is better than other who doesn't.
I have a very good friend who failed twice and short after was called by Emirates. He have flown A330/340 and at this moment he is A380 PIC qualified waiting for his command slot.