Yes, that's correct. All throughout Haku-Men's CT Story Mode, he only vaguely recalls anything he has accomplished while he was still Jin. Haku-Men does not remember scarring Bang during the Ikaruga War. He doesn't even seem to remember that he was Jin, he simply recalls being human at one time. Although, in his first Story Mode path, he faces his inner perception of his past self, I do not believe he calls Jin directly by name (only as his "past self").
The only thing Haku-Men seems to clearly remember from his time being Jin is Ragna, whom he clearly and directly names (and addresses as "big/older brother") during his encounter with his inner perception of Ragna in his first Story Mode path.