Someone already mentioned the extreme difficulty of getting a seat on the LA AKL-SCL flight. I've done two OW220C awards, and both times found zero availability on that route, booking 330 days out. I had to use my open jaw with an AKL-PPT flight on NZ (only 20,000 UA miles), then take LA PPT-IPC and IPC-SCL--that's a good way to get around the AKL-SCL flight if you have some spare UA miles. Plus, Easter Island is far harder to get to than Japan and China, where you're using a lot of segments.