@Diver0001 - wow - thank-you for considering my post. you gave it more consideration than I expected.
I have considered the differences between agencies for a long time, and the conclusion I have come to is that the only difference IS the history. You disagree, so we will have to agree to disagree.
The reason I have come to this conclusion is because when one tries to reduce comparison down to standards, the result and conclusion are they same - which you have come to - it's the instructor that matters - and I think that is pathetic! Why? Because it means that despite all the instructor candidates within the same agency being taught by the same standards, there is a wide variation in the instructors produced. This obviously results in a wide variation in the students produced by those various instructors as well. Thus the need for "a couple of dives to "test drive" them before doing anything ..."
Doesn't this frustrate you? It does me on many levels. First, have you ever gone on a dive vacation and had trouble getting to do the dive you wanted - just because the person(s) you were trying to get to take you doubted your qualification? Second, If everyone is supposedly certified to the same standards, then why is there this variation in actual qualification? Answer - because the standards of most scuba agencies don't matter!
Doesn't it frustrate you that you may turn out only qualified divers, but the card you issue is the same exact card as the instructor who turns out poorly trained students? It's like you putting your Ferrari logo on a Chevy and expecting people to 'respect' and pay just as much for your Chevy just because you put your Ferrari logo on it! Don't you feel like the Chevy instructor is stealing from you? You are producing Ferraris, while he / she is producing Chevys - but the certificates of authenticity you are both issuing are reduced to the lowest common denominator - the Chevy value! Doesn't that frustrate you?
From a student perspective, you are expecting them to "find a good instructor". But without to tools (knowledge they don't have yet - which is why they are students), students end up with poor instructors - because the student is relying on the agency to verify the instructor is duly qualified.
From another perspective, have you ever traveled without your buddy, and then been faced with being stuck with someone "certified" but less qualified than you. Even more frustrating is when the assigned buddy either doesn't know how to be a buddy, or doesn't dive similarly enough to you to be your buddy?
The point is that standards don't seem to make any difference within the same agency, and rarely differentiate in a discernible way between agencies either. So I ask: is there is any way to differentiate between agencies other than direct comparison of standards?
I don't care if you choose to ignore what I have seen or not, but that doesn't change what I see. For example - throughout one agency's history, the culture has been to state one thing and then do another, as well as constantly reduce standards, and create bandaids for poorly thought out methodology. They are never cutting edge - they are followers (nothing particularly wrong with that either) - but if you look for it - you can see these attitudes and methods of diving in their instructors / divers. That is why there is a wide variation in quality as you call it. Maybe some of their instructors want to be more cutting edge, and maybe even study outside of agency materials. But they are the exceptions - not the rule.
Another agency prides itself in deep air, solo, and computer diving. They don't care if they sell a product that they know is flawed, and have a history of selling instructor certifications for $20 to anyone who can prove they might be an instructor. These ethos are apparent in the way that they offer training. This again accounts for a wide variation in their instructors and divers.
The list goes on for more agencies ....
So to recap - it's nice that some instructors on this forum care enough about standards that they attempt to compare and contrast agencies by their respective standards, but as you point out - one has to search for the right instructor because of the wide variation in quality - because standards ultimately don't mean anything - they are just check boxes for instructors to fill in (if they choose to). And yet there are distinct differences between agencies if you choose to notice - otherwise, how do instructors choose to become a member of one over the other? How do you quantify the differences? You can't - because the differences aren't measurable by standards - they are only discernible by the culture of the agency. That is why I propose that it is the history that matters - not the standards.
They say the best way to predict future performance is to review past performance (history), and for me that definitely applies to agency culture.
I don't blame you for wanting to deny this - you are invested in your agency - and that is fine. But if there were a choice, wouldn't you prefer that the Chevy instructor didn't devalue your certification? Wouldn't you like to be able to to go somewhere and dive with a new buddy at both your stated levels with no worries? I don't care about looking good on paper, plastic, or digital download, etc. What I am interested in is exploring what has caused the "vast VAST quality differences" you cite above. You seem to present it as unexplainable but unavoidable. I think it is the respective culture.
Finally - getting back to the OP and what I suggested and why - he asked how to choose between padi or tdi. Clearly picking based on 'the instructor' doesn't work, because I know plenty of divers that attempted to pick based on instructor and think their instructor is the greatest - and are quite blissful in their ignorance. Many replies suggested basing it on the instructor and not the agency - because standards don't matter, and quality varies. I don't wish to be a part of the system of devalued certifications that picking based on instructor suggests, so I suggested he compare histories - agency culture - and pick the one he related to best.
cheers