On the other hand, why do you want to perfect it? It is just an etude. You played it well. If you want to play it up to tempo, then you will need to perfect your technique, but other than that...
If I were you I would play new etudes now (whatever technique aspects you need to work on), and then, in several months, come back to play another double thirds etude/piece and would perfect my technique then. It may even come more naturally then.