From a rec perspective (I only know basic air decompression values at best) I sort of understand depth averaging and non reliance on PDC's, though it took a while to get there. I began by cutting square profiles with tables, even though I own a PDC because I wanted to understand what the computer was telling me. So I wouldn't fall into the "strap it on and forget" camp. But, over time, I also have gained quite a bit of understanding of the dives I do and how depth/time/pressure affects my next move. I don't think I do what GUE does but it works and I could definitely forgo my PDC on most dives. Actually, I think understanding "rock bottom"
values played a big part in this, as does the 120 rule (air).
At certain depths I know I can stay this long, at other depths less. I have to turn at this pressure, ascend to a shallower depth at this pressure, seek safety stop range at this pressure. I would say I dive my SPG far more than my PDC. Like lowvis, if I have an SPG I don't really need a timer because most decisions are based on pressure. I generally use an SPG, though I could do basic dives based on time/depth only (aka J valve vintage diving) but that requires thinking in square profile terms. I really usually don't even need a depth gauge most of the time as I can judge relative depth by fauna/light conditions.
However, having said that, there are a few things that could throw me off my game. Many of my decisions are based on knowing my behavior with a St72 tank. Different tank sizes, or unfamiliar terrain/conditions or stressed breathing rates ie. swimming in current could mess up my non reliance on gauges. With twins I could easily go into deco if I don't monitor time/depth and know the NDL's. In unknown terrain I could easily misjudge my actual (vs perceived) depth. With a prolonged stressed breathing rate I could easily burn through more gas than I have allotted for specific depths.
The other thing that can really throw me is task loading or myopia due to shooting video. If I become too fixated on a subject I can easily lose track of what I'm doing divewise.
I know I'm not describing depth averaging or RD. I'm looking forward to learning more about that in the near future but I sort of get the brain vs computer debate. I totally get why new divers should learn what is going on behind the algorithm so they can gain a better understanding of why, what they do now, affects what they do next. PADI used to try to do that by emphasizing exercises using the tables but I believe now they teach that as optional info. Too bad IMO.