I didn't learn my timetables at school (education was going through one of those phases) - and it's been a pain my whole life (I do know them, but I have to spend that touch longer thinking than when they've been trained in at an early age).
I was drilling my kids on them on car journeys as soon as they knew what multiplication was 😀
Not only do they learn tables, but they also learn number pairs, with a lot of emphasis on it, so the number pairs to 10 for example come straight into their heads.
It's like my eldest has just started factorising quadratic equations - being totally familiar with number pairs, knowing his times tables etc. means that he can spot the patterns and solve them so much more quickly than if he didn't, so he's got the hang of them with very little effort.
So much of maths is just having the confidence to give it a go, and seeking out alternative explanations if you're not getting it the first way it's being explained. We don't all think alike, and sometimes you have to come at an idea from another angle to understand it.