I dunno if it would transverse between models, but lets just say it does, for arguments sake.
Those explorers landed on the "wall" as you call it, Antarctica as I call it, and they documented and survived/lived to tell about their adventure safe and soundly.
Now, my question is: If the two models were to equate the same South Pole, then shouldn't they have been able to see the edge to where the world "ends"? And shouldn't they have either been captured or killed by the supposed Ice Wall Guards? But the fact remains: They are still alive. So with that evidence, how can the Flat Earth model survive now? It clearly would suggest that the earth is ultimately a spheroid in shape.
Please, oh please tell me this friggen makes some goddam sense to you FE's... I'm tiring of repeating myself.