I'll try, but it seems that you're confusing two separate issues: holding students to a higher standard (i.e. higher than the minimum standards established by the PADI OW course) or requiring specific additional skills for certification.
PADI instructors are allowed to teach above the minimum standards. PADI instructors are not allowed to add their own specific skills and then deny certification to students only because the students could not perform those added to the satisfaction of the instructor.
PADI instructors are permitted to assess their students' level of comfort in the water, and we are never required to take students on open water dives if we feel doing so could compromise the safety of the student (or other students, or the instructor.)
I agree with the above post insofar that it is accurate. However, I'd like to point out that there are no "minimum" standards. There are only "standards".
If you really drill down to the bedrock of what a standard is, it's this:
1) a checklist
2) a definition of mastery for each skill on that check list
A student must be able, for example to clear a fully flooded mask repeatedly, correctly and fluidly. That's 1 item from the checklist (mask clear-fully flooded) plus the definition of mastery. Together that makes up one so called "performance requirement". In the PADI system there are couple of dozen or so "performance requirements" of this sort that comprise the standard for the open water course.
When put like that, how are you going to hold students to "a higher standard"? Is there a better definition of mastery than "repeatable, correct and fluid" when it comes to student training?
Maybe a "higher" standard is "completed while reciting Shakespeare" or "done to demonstration quality" or "performed while balancing a golf ball on one's nose" ...... What OTHER definition of mastery do we want to define in order for something to be a "higher" standard? I know some people are thinking that a "higher standard" means "performed while neutrally buoyant and/or swimming" but that's ALREADY IN THE CURRENT STANDARD!
I hear this term -- minimum standards -- often but I can't for the life of me understand what people mean by that.
To illustrate. A couple of years ago I was assisting a course where a DMC was still having trouble with mask clearing. The steps were correct but it was not repeatable and not fluid and she bolted repeatedly when she had to flood her mask. She indicated that this had been the case since her initial training.
Was she trained to LOWER standards? NO! Those are standards violations! The standard is quite clear that the DMC should not have been certified for OW until they could clear their mask repeatedly, correctly and fluidly. She should not have been certified for OW, for AOW or for Rescue and any specialties she had with this problem (although in some of those courses it may not have pinged on the radar).
It was only when she came to us for DM training that we intervened. She initially bombed out of DM training but was eventually retrained and the problems fixed so she could progress. The reason she was in this position was because some bozos had not done their job and had delayed dealing with this problem. The problem was passed down the chain until it got to the point that the diver was unable to progress any further without fixing it; all the while, putting her at risk.
So when someone says "higher" standard then ask yourself what they REALLY mean by that.
R..