Interesting read.
You need to remember that deep stops came from Richard Pyle. All his diving was very deep (100m), decompression diving. They where collecting live fish samples.
Originally he noticed that on dives where they paused; midway between the max depth and the first compulsory stop, (to puncture the fish swim bladders (to stop the fish exploding)), the dive team felt less fatigued at the end of the dive.
As a result, they started adding a 'deep stop' of between a minute or 2 minutes on each dive.
This was adopted by a lot of technical divers in the 90's.
When I dived OC, I always set a deep stop at the gas switch depth. i.e on ascending from a 50m dive, I would have a 2 minute stop at around 36m (115 foot) to switch to my travel mix (32%). This allowed me to ensure I was on track for the decompression profile, had time to deal with any issues / problems and was fully switched on for the decompression profile, and was on the right plan for the dive.
In those days all accelerated, or trimix plans where manually generated prior to getting in the water. So we generally carried a few plans. A bounce dive - in case we aborted. The preferred plan, potentially an extended plan. And then gas loss plans, included the KYAGB plan.
So deep stops where never intended for No Stop diving.
As has been said, modern thinking has moved away from deep stops (or Pyle Stops).
However, if you look at a lot of team diving, especially those groups who confirm each diver has the correct gas before the switch (OC), then they are effectively putting a 1 minute stop in at the switch depth (AKA a Pyle Stop).
Gareth