50% of our time is very structured (eg cimt, formal english curriculum). 50% of our time is spent having "fun".
DS is ASD so NEEDS structure and routine, a timetable. It's part of his disability, most kids don't. However he loves science, bushcraft, making and creating and building.
He's very dyslexic so in order for him to get to a point where he can research his own interests we need to do some formal reading instruction daily (currently using headsprout). he's fascinated by electronics but you need a grounding in basic arithmetic to take it to any kind of interesting level, so we spend time on maths, following a formal curriculum (cimt as it's NC compliant)..
I divide our days so that every day we spend 3 hours on the 3 R's, and then we do something interesting, such as making soap, building a robot or a den etc. His innate curiosity means he wants to spend time learning more about the vikings, or vertebrates, or weather patterns so once formal lessons are out of the way I let him do just that, seeing my own role as facillitator, and taking him to the library, or providing the resources or materials for him to explore in the afternoons.
In time once he has the 3r's I think he'll be able to follow his own interests and fly. Had he stayed in school he wouldn't have been a fluent reader by secondary age, & would have been left unable to fully access those secondary lessons that most interested him independently. so this for me is about giving him the foundations to beat the drum to his own beat at some point in the future.
I will however insist he does the "tickbox GCSE's" you need to access further eduactional and employment opportunities. One of my reasons for taking him out of school is that I could see that he was at risk of joining the 42% of young people who do not get the 5 core GCSE passes you need to easily access so much in the modern adult world.
He's a child, so doesn't yet have the life experience to know what might set his intellect and interest alight. I see it as my duty to expose him to new experiences, so that he can make his own discoveries. That might be a new style of music or a new sport, but I try within the limitations of his ASD, (and my budget!) to give him as many novel experiences as possible. I personally see a danger in the totally autonomous approach in that without that initial parental push sometimes a child might never get to tap that hidden talent or gift without encouragement.
It's all about balance. Home ed enables you to tailor that balance so that the perfect match is achieved for the optimum development of your child, rather than the needs of the majority. Helpful if you have like mine, one that doesn't "fit" the standard mainstream v SS model.