I don't really know how GUE teach tables and SI's. However, it does not sound a good idea to skip SI.
When we increase the ambient pressure (e.g. "dive"), Nitrogen is absorbed into the various tissues, according to some basic physical laws. When we decrease the pressure (e.g. "ascend"), this dissolved N2 goes out of the tissues, into the blood system and- hopefully- to the lungs and exhaled to the open seas (at least in an Open circuit
).
This process of ongassing/offgassing depends on the pressure *difference*. If you dive deeper, the N2 partial pressure (PPN2) difference between tissues and blood is higher --> more N2 goes from blood to tissue.
When ascending, the PPN2 difference is negative (we go from high PPN2 to lower PPN2)- the bigger the difference the faster rate of offgassing. Therefor, If you want to achieve faster offgassing you'd like to increase the PPN2 difference --> it will *allways* be- no matter what type of dive profile- at the surface.
Actually, it is so true, that one will have even better offgassing when going to higher altitude instead of staying at sea level. Alas, ascending too fast (or decreasing PPN2 by climbing up) may cause a "too good" offgasing which most divers prefer to avoid in order not to get "bent".
Since this phenomenon was discovered, many works and models were tested in order to achieve the best ascent rate and PPN2 differences that can get a diver out of the water as fast as possible- but avoiding DCS risks, taking into consideration the dive profile and N2 loads from previous dives. Dive tables do that, computers do that, software do that too.
Physical models that try to describe N2 loading in tissues have been modified, newer ones introduced but the basics are just the same: want to get rid of N2? --> decrease the PPN2 as much as posssible by the limitations of the model/table/computer. There is no magic- it is allways best to surface, and you'll never find a combination of black magic deep stops or whatever you call them- that will allow repetive dives with shorter SI (compared to spending the same amount of time at the surface instead).
What you are suggesting is merely an extended multi-level dive (take any series of dives, decrease the SI to zero and you have "joined" two dives into a londer one). Now it really depends on which profiles you are intending to do in order to make it a safe dive.
I really don't see how one can trace the amount of N2 dissolved in tissue "on the flight", without dive tables/computer/software, deduce SI, repetitive dive profiles etc. It is not something one can easily do with an abacus. But maybe a take a GUE course and learn something new...