DFC, as ever, personal abuse comes to the fore and you really can be a condescending c***.
You'll be pleased to know that, like many, I teach at an airfield where the runways are significantly shorter that 10000ft (somewhere between 510-750m) and we cannot fly 3deg glidepaths due to the surrounding terrain (if we did, we would be 'landing' in a suburban back garden at about 3/4 of a mile). Surprisingly, we still achieve landing distances comparable with the book.
CS-23 remains merely of a passing interest to the majority of instructors who, despite your remonstrations, manage to produce largely safe pilots..
PS. If I follow the precise procedure as laid down in the C172SP AFM, what 'speed' should I be flying the approach at? The 'book' says 65-75kts and one presumes this figure is derived from ops at MAUW. What if I am 300-400lbs less than MAUW? The book doesn't tell me.