The better answer, I feel, is: "Who cares?" By historical accident, we incorporate the old Shoto kata as a portion of our teachings. Is that all we teach? No. Do we teach everything that a student of Funakoshi was going to learn? No; we never really had the line to Funakoshi. Further, ryu-pa has ensured that our Tang Soo Do is not all the same. I learn what my instructor feels worked for him, and add what I feel will work for me.
Tang Soo Do is Tang Soo Do. What is Tang Soo Do? Well, my teachers tell me it's whatever I manage to use to defend myself when I need to - Up to and including taking off my shoe and beating the other guy across the face with it. And that's the attitude, if I recall correctly from his book, that Hwang Kee took as well. Yes, there's hyung, and techniques that are handed down as your first set of choices to ingrain. Most of it comes from the experiences that Hwang Kee had, which included reading Funakoshi's manual and working it out. Does that make us karate? Guess that depends on what you call karate. I feel like I have more in common with an Okinawan or Japanese practicioner than I do with the TKD guys some times, but there are karate guys I respect that tell me that what I do isn't karate. Well, whatever, only thing that matters is if it works. I haven't been asked to defend myself. It has, in general, made me physically, and probably emotionally, healthier. Good enough for me.