I admit that I don't know what a "cottage" school is. My version of homeschool has the parents teaching the child(ren. Right now, my wife is doing most of the teaching, but I work at home and will do more as our son gets older. I'm already teaching algebra to a friend's 15-year-old.
I consider my son's education to be my (and my wife's) responsibility, and I won't turn it over to a public school, and I won't turn it over to a "cottage" school that does things that I disapprove of ("schlepping" being one of them).