CP3 never played for the Thunder. He was drafted by the New Orleans Hornets in 2005. Because of Hurricane Katrina, the Hornets relocated to Oklahoma City during his first 2 seasons (they were known as the New Orleans/Oklahoma City Hornets for those years: 2005-06 and 2006-07). From 2007-08 to 2010-11 he was on the New Orleans Hornets. He was then traded to the LA Clippers where he played until this year, when he was traded to the Houston Rockets.
Not sure what the site uses for those first two seasons. Officially, as I said, they were the New Orleans/Oklahoma City Hornets, but I could see Oklahoma City Hornets being used as well.,