I will go and tell all the RG universities that grant Maths degrees to give their graduands multiplication table tests before they allow the students to graduate, shall I?
Look, some people have difficulty with Maths. Some people have difficulty with memorising times tables. Sometimes these groups overlap and the problems are related. Sometimes, they don't overlap.
Because human brains are rather variable. Let's take autism, a condition that lots of people like to stereotype. You can have dyslexic, HFA maths genii, for example, who have terrible problems with memorisation (and whom, given faulty memory-centric teaching, could be lost to maths forever, because people tell them they're hopeless at maths because they calculate 8x9 instead of memorising it), but will bore your legs off, given a chance post-maths degree, on the intricacies of odd things like topology. And you can have other HFA maths genii who enjoy memorising pi. The first type probably won't turn up in a remedial SATs revision lesson, but that doesn't mean they don't exist.
It means your sample is inherently skewed, to hark back to GCSE Maths coursework.
That's within one broad type of mind, where the people are similar enough to have their neurology given a specific name.
I can quite see that tables are useful, even with calculator availability. In them thar olden days, they must have been damn essential for daily life for most people. But I wish people would stop with this idea that a child's mathematical progression is impossible if they can't memorise the things.