I think that's a very sensitive attitude.
Also, if they don't try something, how do they know if they like it or not?
I don't buy the "they are exhausted" argument. They can come home at 4:30, or have 1 hour at home before going to club... how is that "exhausting" if they enjoy it. No one is signing them to bootcamp or marathon training.
They are not "exhausted" when they go to an afternoon birthday party at soft play (rare thankfully, but some parents still have parties during the week) or when they meet their friends in the park. In real life, no one will really want to spend 2 hours after school in park in the winter when it's cold, dark and wet.
I don't know why it's girls more than boys (but it is!) many girls end up obsessed with horse-riding, horses, and spending as much time and as many afternoons as they can there. Why not. When they are little, you restrict the days and hours but as they grow, you follow their lead.
You can see what you child enjoy or not.
I don't see how they can do too many of anything when you are sensible, one club after school, even every afternoon, that's 1 hour at most.
Kids who have to stay in breakfast clubs and afterschool clubs because their parents are at work 5 days a week and can't juggle, these kids are away from home a lot more and they are absolutely fine. No one is shaming working parents, what's the issue with families who have someone to drive kids around.