it's very easy to blur out the whole piece with the pedal. Only lighit pedal should be used if you want it to sound clean.However , If you're very good, you can try to play the piece without any pedal and make it sound legato..good luck with that.
Well for the left hand, you might want to add minimal pedal to make it sound full, otherwise, avoid the use of pedal, make your left hand legato, that is the main purpose of this etude, isn't it.
I wouldn't recommend playing this etude sans pedal... it's too easy to make the RH chords sound faint and not connected. If nothing else, use the pedal to make the RH work.