Just do what you can per time and budget.
Once a kiddo gets into the higher grades, homework and projects, increases. I know many families, who starting from 4th grade, they did not get home until like 9:00pm. THEN their kids had to eat/bathe/do homework. And I personally knew many families, who's kids did not even get to bed like until midnight. Due to coming home late, then having to do homework. So then some kids did not finish homework, it was incomplete or not done or turned in, late. Teachers, do not make it easier for kids that have lots of extracurricular activities. Whats due is due. On deadline. My daughter, when she was in 4th, 5th grade, many of her classmates, were like that.
And, unless a kid is good at, or taught how to keep track of their assignments and time management with assignments... you need to do more than just a quick check of it. And this is more so, once a kid is in about 4th grade and higher. Work increases from that grade.
I also know many kids who go to after school care, and they do not necessarily get all, of their homework done there.
But SOME kids, do, because of their lack of time, do "learn" how to manage their homework load and get it done. But that also depends on age.
I have 2 kids. They are enrolled in activities/sports. But we only do what we/they can manage. To me, there is no point in having a kid SO busy and SO lacking in time... that their school work suffers. Or that school work becomes 2nd or 3rd in priority.
Personally, we only do, what we can. And IF we can even, get them to their various lessons, AT the start time of that class. ie: some activities, start at say 4:00. Well, how the heck can a parent even get off work BY that time, pick up their child, and get them there at 4:00? So in some cases it is just not doable. OR a grandparent or other parent gives their time, to take the kid(s) to their lessons/activities/extracurricular stuff.
We cannot possibly, enroll our kids in every single thing they want.
They also just need time, to be home and do family things. And time to just do nothing. That, is something important, for us. Personally.
And for friends that I know, who's kids are in so many activities, well they are on the road more often than they are at home, and yes... they eat dinner out. No time to come home, late, and cook. No time. They hardly cook and eat at home.
Anyway, just do what you can or cannot do per time and budget.
And per priorities.