I have HEd (DS was at that time a selective mute with pronounced ASD traits). My children are currently both in school, and I have since trained as a teacher. So I can see a variety of sides of the argument.
I have also met a variety of homeschooled children. One thing I would say is that there is almost nothing that can be said about them 'as a group' because almost by definition they are even more wildly diverse than schooled children. Equally diverse are the reasons for HE - SEN, lack of a suitable school, wish for accelerated learning, wish for autonomous learning, wish for less structure, a need for greater structure and order than a typical primary classroom can provide (that was DS). I have met those who studied a full school curriculum plus hours of sepcialist practice / tuition in music, maths, chess, sport, and those who at 10 had not really accessed books or reading as yet and lived very unstructured lives.
I loved HEing DS. At one point, I thought it might be a long term arrangement (as his then head had stated that she felt he would never be able to re-enter mainstream). In the end, returning him to school turned out to be the best option and one I have never regretted. As he grows towards teenagerdom, thriving in a secondary with specialist teachers, a vast range of equipment and subjects we would have found hard to study together, it turns out that school is right for him after all. Just not that school, at that moment.
It's a very personal thing.