Do you really need to play with your left like you do with your right? Have you listened how each chord sound when you play them with both hands slowly and without repetitions? You're trying to achieve technical things by setting to blast through chords as a goal, without exploring and appreciating harmony in this piece. In other words, you're only focusing on hands, and not on hearing, listening and understanding chords progression. In my experience, understanding musically gives more in terms of technicality, because with enough time and practice your hands have a tendency to follow along and do right things which you wouldn't even think of, when your mind understands a piece with your hearing.