Don't know if I count as a university teacher, but here's my pennyworth:
I did ask and dd said she didn't want it. Being disabled with a condition that makes travelling painful, she thought she would get very isolated if home educated, particularly as we don't have a car.
She felt that a home education that would give a decent quality of life (ie not just staying at home) would put too much strain on her body. School is convenient as all the things she wants- teachers, learning materials, social life- are gathered in one place not far from her home.
She says she needs something like a workplace, somewhere she can go every day to meet the same friends.
(I can relate to that; I don't really enjoy working from home)
She already does a lot of autonomous learning anyway, so she feels school and having different teachers adds an extra dimension; they can point her in new directions.
She doesn't want to spend too much time with me
no, seriously, we love each other, but I can see what she means, I am already quite a dominating person in her life; if she spent more time at home and I took her to HE meetings etc there wouldn't be any part of her life that I didn't know about and didn't have an input in.
I feel my job adds value to the family in a way that is nothing to do with money- it's an exciting job and I have good stories to tell at the end of the day; also a good inspiration for dd who wants to go to uni herself.
So, I think it depends on the circumstances and the personality of the child. I imagine many people who do decide to home educate have children who really want to get out of school. When you have a child like mine who is prepared to endure severe pain to stay in school, then it's different- I felt I had to go with that.