Hi zheer,
I have to agree, the recording is so echo-y it's hard to tell whether you are playing something a certain way, or it's the recording.
I have played this etude (By the way, I think despite its reputation as one of the easier ones, it is still VERY difficult to pull off.) I think you have the right idea, and I don't think you need to speed it up. In fact you may be rushing a few spots.
I can't tell if you are playing all the notes in the arpeggio accompaniments--be sure to try and play those all as evenly as you can.
It is so hard to get the phrasing, with most of the melody carried by the poor little pinky! You may want to practice the melody line without the arpeggios to get the feel of the phrasing, then incorporate the accompaniment, all the while really listening to your melody. I always had difficulty controlling the loudness of the bass notes, due to the big leaps--some would turn out louder than others, and I hear the same in your playing. Just more practice for better control. And those inner counter-melodies must be more subtle--whispering to us rather than being proclaimed.
Keep up the good work! This is a very challenging piece.

Teresa