Interesting generalisations!
Hmmm - we can all do this... Pretty sure that I know of one family whose child grew up to me a career criminal/murderer/rapist AND THEY WENT TO A SCHOOL!!
As regards the "safeguarding" aspect.... If you remember, there were 4 girls radicalised and went to Isis. All were at school. What few people know is that there was a fifth, a friend of theirs, who was home educated. Their parents caught the issue, dealt with it, and the 5th girl did NOT travel to Isis.
All in all, it is easy to generalise, as the above shows.
The core fact are that a) most home ed kids qualify better in terms of social skills, educational certifications and practical abilities than school ed kids (have a look at the numbers who leave school with no qualifications) and b) many home ed kids there because they are not a square peg that fits nicely into the school process.
There are many different home ed philosophies - many child lead, others more structured. The core issue is that if the parents are idiots, then be they at school or not, the children are going to have a tricky life.
Schools CAN work really well for those kids that fit well into a structured environment; I would never say that they do not. However, if you are a bit different, and do not want to be hammered into shape, home ed provides an option that can provide a life line for many children.
This idea that kids are socially stunted if they are home educated is so far from the truth for most families it is ridiculous (Hey! That's me generalising again!). Most home Ed kids learn to socialise within society, with mixed ages and abilities, rather than the artificial environment of a group of 40 kids all the same age, where playing with someone outside your year group is peer-group discouraged.
Truth is, at the moment, there seems to be some degree of split in the Home Ed community. Those who chose to do it and want to, and those who feel that they have no choice, forced into it by an underfunded/uncaring system. The latter can often struggle, as there is even less support for those outside the school system than those in it, but even then, it can STILL be much much better than forcing someone to attend school.
All in all, Home Education can be really really good for those who choose it, but can be very tricky for those forced into it.
Sorry - I'll get off my high horse!