This has turned out to be a thought-provoking thread for me as an Instructor, and raises several issues. By way of background: I dove Grand Turk in December, with three others, two of whom I had previously certified as OW divers (one of whom I also previously certified as an AOW Diver, and Deep Diver), and a third diver for whom I conducted OW sidemount training. So, I was familiar with their skills. On one of our two dives (Tunnels), we went out over the edge of the wall and swam along for a while, before noticing that the downcurrent coming over the edge above us seemed to have picked up a bit, after which we swam back up and over the edge to get a more reasonable 'hard bottom' depth beneath us. For the OW diver, who I had just certified in late October, it was (only) her 3rd post-certification dive. She thoroughly enjoyed it, and handled her buoyancy control like an experienced veteran. We all had a blast. I was probably the more anxious of the 4 of us - not for me, as I loved the dive and 'exposure', but for the other three. Yet, I asked them about it afterward, and none of them were bothered by knowing the abyssal depths below them.
My thoughts:
1. I cannot publicly 'condone' a (PADI) instructor breaking depth limits, by even a foot or two. The limits are just that - maximum depths - and they are established for a reason, so that there are specific parameters within which training dives can be conducted safely. But, I suspect it is not altogether uncommon, across agencies, to have such depth limit extrusions occur. I have seen done just what you apparently experienced - the instructor swims along with a student, maintaining a depth limit of 60 feet on his/her computer, only to find out after the dive that a student's computer showed a maximum of 61 or 62 feet, and has the student log, as the maximum, the 60 feet (that appeared on the Instructor's computer, and which is compatible with standards). I am not justifying the practice, just pointing out that it occurs. Yes. An Instructor would be 'ill-advised' to sign a OW student logbook page that listed a maximum depth that exceeded the standard for that particular training dive.
2. As an Instructor, I would probably take a single student out over the abyssal wall, depending on current conditions, my comfort with their precision of buoyancy control, etc., on Dive 3 or 4. But, I would discuss such a plan with them before the dive. And, I would not do so beyond a 1:1 ratio. Simply not worth the (small) risk. I would plan for the worst - a student has complete loss of buoyancy control and I have to provide buoyancy for both of us - and comfortably anticipate the best.
I agree and can understand that happening as computers might read depths slightly differently and 1-2ft is not a major issue but the OP was talking about three out of four dives being below the maximum depths (assuming it was dives 2,3 & 4 makes it 12ft, 6ft and 2ft over). If it was not dives 2,3 & 4 that makes it even worse. 12ft and 6ft to me are significant amounts which would concern me during instruction as it suggests the instructor was not in full control of the dive profile.