I think we are confusing topics here. The Navy tables are based on experimental data on Navy divers, they are not theoretical.I agree - the idea that an approximation is useless is wrong. It is however useful (well IMHO) to understand that the mathematical model of decompression is not based on hard science but an hypothesis. Buhlmann tested the model enough that it has real value for diving and is universally accepted as the best way to combat DCI.
Poor old Albert passed away before he could do the same for helium mixes and didn't do much in the "flying after diving" debate. Hence the personal opinion versus consensus that dominates that (and this) debate.
Belief that because the mathematical model works is proof that it is perfect is what is wrong.