OP - Wifebuddy and I did PADI AOW a week ago - I don't have the thousands of dives or years of experience to have a meaningful opinion/viewpoint on various agencies and what AOW should or shouldn't look like but I can at least tell you about our experience and how the PPB dive happened. Hopefully it will be helpful ...
In our neck of the woods, pool work for AOW is optional and, from what I've seen, is only offered as an option by instructors and LDSs that have their own pool. The instructor we did it with did not have this facility and we didn't do any pool work. Even if you do a lot of pool work for AOW, none of it is counted towards the AOW itself - you still have to do 5 dives in the ocean/lake/quarry/whatever. So, if you did PPB exercises in the pool, you can't count that as a PPB dive (neither for AOW nor for the PPB specialty if you decide to do it later).
On the morning of the first day (for us, it was emails in the two weeks leading up to AOW), he asked all of us specifically which experience dives we wanted to do and what we wanted to focus on. Of course, deep and navigation dives are mandatory but even for those, he was telling us about various ways we could go about the dive depending on what we found interesting.
All of us decided to do the 1st dive as PPB - it was not implied we should do it. The first thing we did was go in 15ft of water and do an initial weight check to see if we were significantly off the mark for weighting. After that, he had us do descents in 20ft of water and try to come to stop in a horizontal position 3-5ft off the sand - he made me do this more than once. Then came the swim along a line, again 3-5 ft off the sand. What we didn't realize with this was that the line was down a gentle but noticeable slope. None of us adjusted for it and almost everyone had to do it 2-3 times until we got it. Since we had some air left, we did a brief jaunt around the kelp, looked at some pretty fish and then back to 15ft to do a final weight check. We were also expected to try and maintain good buoyancy for the rest of the dives and I was given the "level off" signal more times than I care to remember during the rest of the AOW dives.
I have no idea how other PPB dives or AOW classes are conducted but I was pretty satisfied with mine. I think the important thing is to talk the instructor or LDS ahead of time and find out what options you have available - for pool work, for the dives to do, what you want to do in those dives, etc. Otherwise, you're going to end up doing one of the AOW classes that so many people on SB complain about.