My advices are to try a different airline and edit the diatribe out of your post.

Lan Chile does indeed fly between Santiago and Lima or Buenos Aires and Lan Peru flies between Lima and Buenos Aires. Both are available under all the Oneworld products having to do with South America. As Spotwelder said, the only two Lan products you cannot use are Lan Dominicana or Lan Ecuador. Talk to one of the other airlines you will be flying and you should have no problem.

Again, I urge you to edit your post and tone down the rhetoric about Scots and/or Brits. Maybe you dont like them, but there are a lot of them on this board who are very nice people and who contribute a great deal to our discussions.