Enid, may I ask why you were HE'd?
I stopped going to school at age 11 and never went back. I was effectively home educated by a home tutor provided by the education authority. I too was bored out of my mind, but I was suffering from depression and so didn't go out much. I started going to college aged 14 and from there things got a little easier as I was getting out and interacting with the world a bit more.
This won't be the situation for my children. Home education doesn't mean sitting at home. We can be out doing different cativities every day if we choose. Attending 'after-school' type clubs. Not being tired after a long school day, they will be able to enjoy these with energy and enthusiasm. There is also the opportunity to very much follow their interests and enthusiasm, and be sponteneous about it, which you can't do so much with the confines of school hours.
To me, the biggest advantage to HE is the opportunity for my children to learn about things that interest them, as much as they want when they want. They don't have to do this project because that's whats been planned, and go on doing it after their interest has waned, or stop and move onto the next thing before they've finished. I feel this presents a far better opportunity for learning, as children will learn better when they are interested in the subject in hand. Just like adults doing further education, or adult education classes. Learning becomes a pleasure, an enjoyable journey, rather than a resented chore. This opens for them the doors on lifelong learning. Not just sticking at it to get qualifications and get out as quickly as possible.