I am a Platinum member of American which gives me perks with oneworld airlines. However, I am switching to accumulate miles with Lan since my travels take me to South America now. If I put my Lan number in when booking, it will not show my Saphire status with Oneworld which gives me club access and I was even upgraded on Lan from LIM-LAX last time I flew. I want to get the miles in Lan's program but also want to be recognized as a oneworld Saphire when I travel. Anyone know how I do this? Thanks.