I disagree quite strongly with this. How can you be there more for them by not seeing them most of the day? I have sent the kids to school and home educated, and the latter is definitely better from this point of view.
HE does not mean pushing. It means going at the right pace for the child, and having the time to follow interests. It frees a child from wasting time being bored in easy classes, or falling behind and failing to understand in one that is too difficult.
You seem to share the common misconception the home educated kids stay at home all the time. They do not. Home education is better for being a part of society (and learning social skills). Instead of spending most of your time in one place, with the same group of people, most of them the same age, every day, kids can meet lots of different people in different places doing different things. The kids my daughter met at Sea Cadets, were different from the ones at dance classes, were different from the ones at stage fighting classes, were different from the ones she met playing D & D....
It also develops independence. My daughter started travelling to a different town by herself regularly to meet her D & D friends.
She has had the time to visit friends in different counties (in the UK), and she has travelled around the UK and abroad with her older sister and with family friends. All that would have happened a lot less, if at all, with the restrictions of a school timetable.