I taught (owned actually) at a Tang Soo Do dojang for several years - long story but I kind of inherited it and didn't want to leave the families stranded - and when people first asked, I usually told them it was "Korean Karate", which was simpler than trying to explain the somewhat unfamiliar "Tang Soo Do". And, after all, the Chinese characters pronounced "tang soo do" by a Korean would be pronounced "karate do" by a Japanese, even though the actual meaning is now different, having been changed in the 1930"s. That's when the "tang" (China) hand was changed to "empty" hand, perhaps reflecting the politics of the day. But both are pronounced kara te in Japanese. So, I guess, who cares? Inside the school, we were respectful of Tang Soo Do, the founder and current GM, but to outsiders and potential students, Korean Karate was fine when trying to explain what we did. And the roots, Shotokan to Okinawa, and then back to China, were pretty obvious. I think there were also more modern (and obvious) efforts to make TSD less Shotokan-centric and more distinct, as a stand-alone art beholden to no other, which also is fine.