Though we call Thai sets by that name, and practice them on the Thai pads, only a small percentage of the drilling is from Muay Thai and Thai Boxing
(And there is a difference between the Martial Art of Muay Thai and the Sport of Thai Boxing - which a lot of people forget, ignore, or were not aware of in the first place )
What we do is from the Unarmed Combat of Muay Boran and the Warrior Art of Krabi Krabong, which we do as part of our weapons stepping
Thailand wasn't called Thailand when these arts were founded, it was called Siam
In Thailand when you reach the rank of 10th Khan in Thai MA, you get promoted to the rank of Palace Guard, the most elite branch of Thai military where you no longer go out to battle, but stay at the Palace and guard the Royal Family
The Tiger King spent his childhood and youth learning Krabi and Boran from his bodyguards, the most elite warriors in the country. He went out in disguise to enter local contests in Muay Boran and Krabi. Most of the modern techniques in what is now called Muay Thai come from the Tiger King.
Thailand means Land Of The Free as they have never been conquered by an invading army