Some great stories by Gareth Lock about exactly thatMultiple layers of checking can't hurt - there have been plenty of airliner accidents caused by pilots going through checklists but not actioning what they are verbalising from the checklist - flaps extension, landing gear down, etc.
I've always seen the early phases -- 1 and 2 of 4 -- as being the ones where you put the 'care' in and follow the checklist. Subsequent ones, on the boat/divesite, should simply confirm all's well in the first two phases and get you ready for the dive.