I don't have any experience with them, but I have a ton of respect for the breed and its history. The Turkmenian horses are thought to be the first true hotbloods, which are centuries older than the Arabian. Most modern horses in Turkey, Iran, Iraq, and Afghanistan are direct descendants of the Akhal-Teke.
They've been dated back to 1000 B.C. As race horses, and they were priceless war horses in the Middle East, which surprised me because they're a lot like Thoroughbreds - thin-skinned and hotblooded. They were valued for their speed more than anything, but unlike TB's, they're supposed to be able to run long distances without tiring. In other words, they have the speed of a TB and the stamina of an Arab.
I imagine owning one would be like stepping back in time. To think that you're riding a horse who carried soldiers into battle in another lifetime. That would be awesome. :3