I learned tables in 1982 when they still had decompression stops on them. I think if you actually learn them then like a bicycle you never forget, not like they do not have directions printed on them. as for the different tables, the USN are self explanatory, and all the ones in the TDI course seem obvious to me, time, depth, stop time simple.
now there are a few caveats that seem to be specific to individual tables like Padi does not like anyone to go near a limit and requires the optional stops, and the Navy tables require you to get command permission before certain dives (can I just ask my wife?).
The really valuable part of the tables, (I think I have said this here) is the information between the lines. and the differences between the tables, the gray area, to know how big it is, and what the absolute limits are, your computer is not capable of teaching you that. the whole concept is a theory and that in reality your body does not conform to the theory exactly.
There is a law of science, if your theory does not encompass all the measured points then it is wrong (paraphrase). Dive theory is wrong, we use it because it mostly works and we do not yet have better ones (there are multiple dive theories all wrong). things like hydration, mood, nutrition, body mass all are factors on the rate at which N2 moves in and out of solution. if you are not entering these factors into your computer then it is just guessing how long you should be at any given level.
