Agree older age kids can have the maturity to be engaged for themselves and bring that conversation to their parents.
Have the responsibility to put working on technical lesson feedback on there own schedule.
13 & under...not so much.
Still there can be very responsible young kids but not all.
And I am talking about a private instruction schedule where the parents are included with me standing there saying let's remember to work on our XYZ on own time sb homework.
DD is 13 and I've been encouraging her for years to be the one responsible for making sure she follows her coach's instructions. I may be paying for it, but she's the one who's got to take it to the field and I don't want her to think that I'm an intermediary in the process. I don't want a coach telling her something and then having her check with me to make sure it's okay - I'm her mom, what the hell do I know? Listen to the people who know what they're doing.
We've worked on how to talk to coaches who disagree what her private coaches teach her, and we talk about what "homework" her coaches give her, but this is her process and I'm just there to support her. If she doesn't do the work, I don't need to impose consequences because it shows up in the next lesson.
She's a pretty mature kid, but that's been my goal in general. She deals with her teachers by herself, she deals with her coaches by herself. I'm there to support her, but she's the one who's got to live her life.