Gladiolus45 move over on the slack-mother's bench and let me while away some time with you.
I have done extra curricular with the kids (over the years) but only if they asked. They also have them up when they chose.
We've done riding, netball, Karate, ballroom dancing , canoeing and CCF (combined cadet force) . Some for a few weeks . Some for a few years.
My only rule was nothing at weekends and no more than one activity a week in primary and two while in early secondary school years. (After that quite able to choose how much/little they wanted to do for themselves)
The reason for this was that I simply don't agree with it. School day is long enough . I certainly wouldn't of encouraged or supported anything of an academic nature outside of school. Hell I don't even agree with homework. ! (And would never allow it in primary with the exception of spelling and reading) .
Like you I have always encouraged critical thinking and debate. They are valuable skills but can be developed in family time.
Weekends are family time whilst small and not going out on their own.
IMHO childhood is such a brief time that the encouragement to play (outside if possible) to create, use their imaginations and negotiate friendships is far far more important than 'grade 8 harp' .
It's a strategy that has worked well with my 3 eldest dcs going to Cambridge, Bristol and Durham doing subjects THEY chose. For careers they want (although tbh 2 still haven't a clue - but that's also fine)
... and I've NEVER had to spend my Saturday waiting for the poor little buggers to finish at Kumon Maths 🙄.. and for that I admit - I DO feel smug..