No, it's not true. LAN flies over the pacific, I understand they start to cross it at Puerto Montt's latitude, which is funny because Santiago is almost at the same latitude of Sydney (both at 33ºS)
promotes their flight to Oceania as "transpolar", but it doesn't fly over the pole. Not sure of they fly over Antartida either, but I think they don't.
You just got some of the so called picardía del Chileno
Saludos )( Arcano
in order: 721,146,732,763,722,343,733,320,772,319,752,321,88,83,744,332,100,738, 333, 318, 77W, 78, 773, 380, 73G, 788, 789, 346