Dramaturgy then isn't so old, i gather that this was in Vietnam and i have the inkling that it was when he was human still so as a vampire he really is young.
Well, it was clear that even if Dramaturgy is more experienced, Araragi is a vampire made by another vastly superior than Drama so he had his chance in killing Araragi he let it slip. But winning just by hitting the guy with a ball, only with its shockwave and he didn't even mean to do that, this is just plain disrespectful for the poor guy.
Anyway, this fight and the other two will serve as training to him, because even if he is weaker in the present time Araragi is much more proficient in controlling his power, he even made blade in his forearms when fighting the snake god.