I agree that the "Original Five" and the "New Teen Titans" are probably the most iconic and well known members, however you your point about Kaldur v Jackson is a little more complicated.
They are certainly somewhat different from each other in character terms (Kaldur identifies as Atlantean, whereas Jackson was raised as a surface dweller) they are the same character legally and physically:
Jackson Hyde is Kadur'ahm.jpg
https://www.deviantart.com/shamrockh...0%3A1566798770