There seem to be three schools of thought.
1 Lengthy checks as in the handling notes are OK
2. Only checks appropriate to type are acceptable
3. Only checks appropriate to type and situation are acceptable
You will never get everyone to agree which is correct or which is better.
All I can say is I have tried and taught all three methods and I prefer circuit checks which allow the minimum distraction and maximum heads outside.
I modified my views after watching students struggling with checks and radio calls when I felt they should be looking outside or concentrating on mentally noting the radio calls made by other aircraft.