This has already been done quite successfully in many edits (L8, Hal, Q2, etc.). It works great because Lucas indeed thought of this parallel during writing but somehow forgot about it during shooting and editing. It is then more aligned with “He was already a great pilot when I met him”.
edit: oh sorry I misread your post, you mean more parallels, like a pay-off. Yeah indeed a shot-to-shot parallel between the pod race and the dog fight could be very cool (but thinking about this there already is a mirror structure, when Anakin’s ship is down within the mother ship, and “this is podracing !” emphasizes that).