There are many different ways to design and use checklists.
As long as the the pilot uses his CL consistently, and that the CL provides adequate safety for the flight, it's OK. I don't think you should try to fix something that works, because changing the habits of a pilot has drawbacks.
When something is wrong with the way the pilot uses his CL, or with the CL itself, for a CRI, the challenge is to find the easiest way for the pilot to amend his habits and CL .
As pilots come from very different backgrounds, I think it has to be tailored to each student.