Appeal to authority is a logical fallacy.I'm a retired university faculty member with 40+ years of classroom experience. I know whereof I speak. Learning about the tables is a valuable thing.
That being said, I do think that learning ABOUT or WITH tables can be useful. There's a contradiction here that most haven't acknowledged.
One can use the tables to explain the functions of nitrogen buildup in the body, or use them to show how doing a shallow dive first and a deep dive second is less efficient than deep, then shallow.
On the other hand, I have yet to see any argument that one should force students to MASTER and BE EFFICIENT at using the tables.
When I think of "teaching tables" I think of teaching them to mastery and how painful that was for everyone. I do not think that using tables to present examples or broaden a student's knowledge is, however, a bad thing. But to me that isn't teaching the tables. Rather, it's using the tables as an aid in teaching.