I get the point about the checklist being transferable to other aircraft. My excellent instructor also taught me to fly circuits in a way which would be applicable to all airfields and not by reference to specific landmarks. Most airfields have some complicated arrangement to avoid Farmer Joe's barn etc etc but I find if you stick to the basics and avoid flying over any villages (towns are ok - that's not where the posh complaining people live) you can't go far wrong.
She also included "Ts and Ps, all lights out" and "Suction and Ammeter" in her list.