Who would you be doing this for? The child or the parent?
As a parent I taught my kids to read before they went to school, and their times tables before they were 8. I think this was helpful but I will never know.
Some of my neices and nephews have been home schooled out of necessity - living in isolated African areas who have gone to normal school age 13. They have integrated well mostly and one of them was Head Boy at his school.
What their parents did say is that a lot of the home schooling material is produced for children who are being home schooled to ensure that they don't learn some things. Evolution and certain facts of life mainly. Suspect it might be a bit light be a bit light on Climate Change as well!
My vote is to send to normal school and supplement with targeted extra help and trips to stimulating places. My kids now think it was really cool I took them to Bletchley Park before it was full of Benedict Cumberbatch etc !
One point I would make is that because of the internet, kids now learn at least as much from each other as they do from adults. They no longer get one single version of the truth, and the sooner they learn to sort the wheat from the chaff, the better.
I would have to ask - Is there another (?work-related) reason that your partner wants to do this?