I recently heard the phrase "cave diving is figure skating, wreck diving is ice hockey". I like that.
I haven't watched the video yet, but I did take both advanced wreck and AN/DP with John Chatterton and they were both awesome classes. Not only was the teaching terrific, it was a real treat to just listen to him talking about the diving that he has done. If you are a northeast wreck diver (like me) this was baseball fantasy camp. I don't care about diving with him BECAUSE he is famous, I care about diving with him because of WHY he is famous.
Many divers, especially cave divers, place a great deal of emphasis on perfect trim and buoyancy. While these are very good tools to have, and necessary for some types of diving, we shouldn't be so arrogant to think that there is only one type of diving. To be honest, I spend a lot of time wrangling a heavy DSLR rig into low angles and tight spaces, and I dive with people who spend the whole dive in perfect trim with their hands right out in front of them. I can't imagine doing a dive where I had to hold that position, but if that's what they enjoy about diving, that's great.
Remember, the northeast wreck diving culture have long considered a sledge hammer and a chisel as vital dive gear. So when JC advises pull and glide as a way of going over a wreck to minimize effort and CO2 production, that's not advice that would apply to the Lillie Parsons.
There are some situations where "dive and let dive" is simply wrong. There are hard won safety lessons and reasons why entering a cave without a line or a light aren't just "personal choices". And I'll be as careful as I need to be on an old wooden wreck in the Thousand Islands, so that I don't even touch it, let alone pull and glide over it. But the big steel wrecks are collapsing and decaying due to forces far more powerful than a few divers. So like with most things, different approaches for different scenarios.