The tanks stand ready for you to take, analyze and label with your name and data at any time.
About the only time they run short of tanks is early in any given week if several people decide to expedite their clerical/testing tasks and begin hoarding six tanks at one time. It is suggested to obtain and analyze two tanks at the beginning of each half day of diving. Store them in your gear locker and the boat guys will load them aboard.
As to our hypothetical above, you absolutely do have the correct answer. Without figuring the dive as a multi-level, my "typical CCV dives" can not be put on a table or a wheel. Obviously, we rely heavily on our computers, especially in the model above.
The 24 hour deal? Sure, it's there, but you have to read the fine print. "
Herself" would work her tables after every dive, doing four a day, and logging it right next to her computer data. I asked her why she was doing that after "day three", where she had literally "run off the map".
On Day Three, by her tables, she had violated some fine print: ....
(if you blow a deco stop)... "Upon surfacing, the diver must remain out of the water for at least 24 hours....
She looked pretty good, although tired,
and her computer said she was okay as well. With knowledge of the tables and their meaning firmly in mind, she now stores them in the basement. The computer gets new batteries each and every 6 months.
I was diving in Bikini Atoll
many years ago with a fairly well known scion of women's diving. She did one dive and for fun, buried her computer in the sand under a famous wreck. The computer violated her and was flashing angrily. She "fixed it" by removing the batteries and having it reset to zero. I kid you not.

Better than hanging it over the side on a string for a few hours... no, not really.
To go back to your suggested resolution, I dive the profiles I sketched in
blue and hit high in the
Yellow Pixels by dive #4 at about 4:30 p.m. Only
once in many hundreds of "4
th dives" at CCV have I ever gone into
deco.
It was all over this critter who lives under a ledge at 70fsw on Newman's Wall, just aft of the Prince Albert.
This Yellow Tailed Jawfish is such a big deal (apparently) that it lured me into deco. I served my allotted time at indicated depths, but as I was chilling at 15fsw and waiting the clock, I was running low on air. I didn't want to do the dog paddle into the resort, so I tagged up with another old timer from CCV and breathed off of her tank as we spent another 15 minutes dawdling in.
The point of it? You will soon see that the South Side Roatan profiles are best kept shallow- that's where the really cool stuff is. So, when you start running the tables for 70' @ 1hr BT, you can get mathematically dead pretty quickly. On a less inflammatory note, your computer will likely analyze your dives and show you that you are well within safe limits, air or geezer gas (thanks for getting the veiled reference!).
I am not so sure I would blame PADI per se, but they did react fairly quickly to a growing demand for use of voodoo gas. Requiring actual dives, I couldn't figure, but... If we were only so quick to abandon the well intentioned wheel, offer Ikelite housings

for the eRDP , and figure out how to "teach computers", well, I will die a happy guy.
Divers as a group are entranced by technology, and "invisible technology" in the form of EAN with yellow and green logos - that's pretty snappy. It gives instructors something else to teach, it lets you get another card, and in some very specialized cases, it allows you more expansive profiles. That, and the stories about how nitrox makes you frisky and not need the Viagra. Bingo. Gotta have it.
I don't know the exact numbers of divers using EAN at CoCoView, but it is very high. Of course, you'll see divers at other operations demanding it for their two a day dive schedule. Go figure.
Then again, Shell Oil is putting Nitrogen in their gasoline blends.
Shell Launches New NITROX Enriched Gasolines
FIIK
Don't worry about this- you're going to love it.