Originally Posted by blue2002

You now appear to be suggesting that the onus is on the passenger to (a) know which entry eligibility system the airline will be using, (b) verify this system's accuracy and (c) carry with them documentation sufficient to convince the airline agent that their system is wrong. There is so much wrong with this apologist attitude, I don't even know where to start...

1) No, the check-in agent should not "call Argentina" to check the pax's eligibility. The check-in agent should rely on the tools offered to them by their employer. In this case KLM chose to support its staff with Traveldoc (NOT Traveldocs, I believe).
2) No, the pax should not be expected to know what eligibility system a given airline uses, nor should they be expected to pre-verify their eligibility using that particular system prior to their travel.

Originally Posted by blue2002

3) Even if the passenger were to pre-verify their eligibility, find the airline's system has erroneous information and collect supporting documentation to counter this erroneous information... why would you expect the airline's agent to trust a bunch of printouts a passenger brings to the airport?!?! That's not their job. They are not immigration lawyer. This is why they are provided with a simple tool, where you enter the required info and get either a green light or a red light.