I would be a fan, and would very much have liked to do it. Especially for ds1 who has Asperger's.
However, as he listened to me even less than he listened to his teachers, and I was struggling to cope for even the 8 hours a day he was at home, it would never have worked.
It would have been fantastic for ds2 from an educational point of view, as he was bright, interested and willing to learn (all things that school squished, sadly). BUT he is also very sociable, and loves his friends and school sport and the social aspect of school.
It would have been a disaster for dd, as she is/was very shy and if she had stayed with me I suspect she would have stayed home for the rest of her life. School (especially the co-ed school she goes to) has been really good for her.
So - in principle, in favour, but it very much depends on the child.
And of course, the educator needs the patience of a saint, OR a partner who will give them a break at the weekend.