Correct. He does not know his clan's Hidens, even thoug he does know he's a Tsun, since his mother's clan ensign was on her flack jacket. And his sword would carry some kind of marking that would indicate his heritage as a Senju. But it isn't important to him.

And, ye, his ying / yang stuff don't do much yet. He'll develop more utility and buffs with it over raw power.