Nope. Think the Browns and Ravens in football. The Ravens were the Browns and moved from Cleveland, but only took existing players, staff, and equipment with them. Other than that, they were basically a new franchise, rather than just a relocated one. When the Browns were restarted as an expansion team a couple years later, the name, logo, history and all that were assigned to them.
It'll be a similar thing with the Sonics. The Thunder are a hit in OKC, so they're not going anywhere. Meaning if/when the Sonics return to the NBA, they'll have to either be an expansion team or another existing team would have to move there. It is a little confusing, yeah.