There has been many fatal accidents in circuits in the past regarding joining the circuit at the incorrect altitude also. I can not see anyone pointing it out yet.
The Hoxton Park mid-air comes to mind where the Tomahawk from Bankstown attempted to join crosswind flying straight into the other aircraft on downwind. If he was 500 feet higher as required the accident could have been avoided.
So it is not only important to fly the published number of legs it is just as important flying them at the correct altitude also.
Safe flying