Look at the video. His explanation is reasonable. I'm only taking his word for it in the sense that when people say reasonable things, I tend to believe them. I'm not reading Steph's mind. After Obama explains himself, Steph accepts the explanation, which means he sees he was mistaken when he corrected him. This stuff isn't about mind reading, it's about being able to follow the conversation even when it's a little bit convoluted rather than jumping to far out conclusions.
I have seen the whole interview and it adds nothing to this discussion.
You need to watch it again because Obama's explanation of what he meant adds much to the discussion.
I tend not to believe someone who has been caught in numerous lies.