I have to admit I am confused about this. You are describing the OW standards for pretty much every agency over many decades until the decision to start including computers in dive instruction. You statement could have been shortened to "I believe instruction should be taught with tables (which almost no diver uses) instead of computers (which almost all divers use).Only one thing really thins out the herd so here goes.
Basic training must include mastery of planning a dive by hand. No computers. Track your depth, bottom time using dive tables. Surface interval, repetitive tables, Decom stops or safety stops and then next and so on. By mastery I mean understanding of each step and cause and effect.
Naui 1983
Whether a class is taught using tables or computers, students are required to plan dives, take surface intervals into account, and do safety stops. They are supposed to understand decompression theory, cause and effect, etc. Decompression stops are not included in OW training for all but a few agencies, but all agencies teach decompression stops for unintended (emergency decompression). Dive tables and computers are just different ways to track, measure, and plan dive.