Their compression setup makes absolutely no sense to me. The wikipedia article is either wrong, or someone doesn't know what they're doing. When you dive, your body absorbs gasses into your bloodstream. You have to ascend slowly to let the gasses out. Ascend too quickly, and it's like opening a soda bottle in your blood. With a deep dive (say 300 feet), that could take hours. The longer/the deeper you go, the more gasses you absorb, up to a certain point. This is what is meant by a saturation dive. Your body is fully saturated with as much extra gasses as it can hold at whatever depth you're at, working there longer doesn't make you absorb any additional gasses, so the ascent takes the same amount of time, no matter how much additional time you spend at depth.
So, in a saturation dive, you exit the water to a chamber which is at THE SAME pressure as the surrounding water. Which means from a pressure perspective, you don't ascend. You're just getting out of the water. You sit inside the chamber, have some lunch, get some sleep, whatever. You can go back and forth between the chamber and the water without waiting for any decompression.
But with their setup, you exit the water into the moon pool, then go into the Entry lock, where the pressure is adjusted to surface level pressure (ascending). But remember how this can take hours? You're stuck inside the Entry lock, and no one can go in or out of it until you're done.
80 feet isn't horribly deep. You can stay down for 40 minutes and ascend directly, without having to decompress at all. But 8 hours at 80 feet puts you at almost 6 hours of decompression time.
seriously.