I think it's complicated.
Children tend to build up a wall where their parents are concerned. These are the people who have wheedled, cajoled, lectured, nagged, and yelled (As the case may be) since we could walk and it is human nature to start to tune that out after awhile.
The people I know who were home schooled are not stupid and neither were there parents. The parents just couldn't get through to them apparently.
A virtual stranger starts off with a clean slate and that can be an advantage. I had good teachers and bad teachers just like my children did, but the good ones we remember for the rest of our lives. It was a kindly Mormon biology teacher who explained to me what a load of shit the JW reasoning on transfusion was and that was huge