I do not, and have never, objected to supported learning at home
I object strongly and vociferously to being expected to teach my child a curriculum topic
I happily read with the 6 year old, as do her older siblings (when forced in the main), I happily teach her piano and ice-skating and swimming and how to take care of pets, I happily talk with, to and at, teach my kids how to conduct themselves, social morals, contrasting religions, how to handle alcohol, girls, social situations etc etc
I do this whilst working full time, studying and fighitng an annoying medical condition
I have experience of my children growing through the state education system (I even work in a state school) and not suffering from my attitudes, in fact they appear to benefit from it becoming independent and committed students (I wish this was without screaming at times, but hell a couple of them are teens)
I love the whole - oh you object to it your children will suffer, you are bad