See, the problem with your theory of wanting "credit" is KD jus wants to WIN. He's already said he doesn't need the credit. So again, why would he leave his current situation to play in LA?
For someone who doesn't want credit, he seems awfully thin skinned to the point that he had a burner account to defend himself on social media.
Also, they all say they don't want credit and they all lie. Legacies and how they stack up all time is very important to all of these guys. KD included.