I do checks from memory in the Jodel DR1050, which I've been flying since 1990, but I can see the usefulness of checklists for rented aircraft. I just looked at my old C152 list, and compared it with my even older 1965 C150 list, which is much more user friendly in finding emergency procedures, as these pages are pink, and overlapping, so page subject can be seen without leafing through.
However the most sensible checklists I've used for simple Cessnas have been single laminated sheets in the US. EG for radio failure, a list of suggestions - headsetjacks, try other side and other ptt, etc. And the US lists are in the aircraft, while the UK pilot has to buy the school/organisation list.
PS I can see the checklist as a habit-training item for those going on to more complex aircraft. (Such as modern home-built glass-cockpit microlights
)