I think just learning the times table by rote has little value and when I was a nipper I objected to learning the times table and never did learn them. I don't know them now. What worried me was that the teacher's pets who could rattle off any times table in front of the class, some even 13x, could not do maths, and certainly could not solve a simple a real world-problem in maths.
I felt the same way about spelling and in my mind was always troubled by inconsistencies of the spelling system in the UK. Once again the super spellers, were often not good writers. Grammar was another issue- we used to spend hours learning the collective nouns for various groups of objects: pride of lions, gaggle of geese, and on and on. What a waste of time. In principle, there is only need for one collective noun. Then you get all this nonsense about plurals: 1 crow, two crows, but one sheep, two sheep. Why?. One crow, two crow, one sheep, two sheep would be fine.
There is a fascinating book, The Loom of Language, by Frederick Bodmer, which goes into some depth about languages, their characteristics and peculiarities.
To answer your question 'are we done with times tables' yes. The thought the someone could not work out what 12x12 is or 6x7 is in their head without needing to learn tables is a worry.
I strongly agree with that.
Ron