To each their own, but I would never allow it ... let me tell you why ...
Even if you can provide the greatest possible home school LEARNING EXPERIENCE, which would be rather hard to do even if you are the best, or are among the best educators out there ... the student (you child) will be severely deprived of social interaction. First ... why would it be challenging for a great parent, educator ... in a word ... "FAMILY." Having you relationship continue into school is overload for a young mind. The stimulus factor will certainly be stunted. Second, a child (and every one else as well.) needs social interaction. It teaches us, it stimulates us, it teaches us many lessons on getting along that become important social skills beyond the educational period in a person's life. Then thee is the "rule of contacts." Regardless of the caliber / level / cost, (if private) of the education ... meeting people (educators / classmates alike) forge a path to the future that may be retracted at some future point. Building a network is not just for adults, children need to do it as well. And in many cases, these contacts last into adulthood and they may very well determine future success / victories in adult life.
NOPE - To home school is to deprive a young mind of social interaction. The only way you could get me to buy into the concept is if it were short term and highly unique ... as in some exotic, thinly populated location where learning took place outside of the class room. And even then, it would have to be brief in time ... as semester at maximum. It's just not the right setting for preparing a competitive young mind for the adult world.
Replying with sincere respect for your point of view as different as it may be from mine.