I heard that a bigger number of child abuse victims are going to regular schools, and some abuse in fact is happening inside those schools. There goes your argument.
Furthermore, I didn't have an argument. Homeschooling seems dubious to me. As a homeschooled kid, if you win the genetics lottery to have educated non-lunatic non-abusive parents capable of teaching the entire spectrum of knowledge areas, it might work out really well.
God help the kid chained to a bed at home being homeschooled without anybody knowing the child's plight. God help the kid whose parents can barely manage the mathematics required to keep a checking account balanced. God help the kid who has a medical condition like autism that the parent is incapable of addressing.
That's an extraordinarily useless piece of data -- there are at least a couple orders of magnitude more students in schools than home schooled.
> and some abuse in fact is happening inside those schools
This is rare enough that it's not a rational reason to avoid schools.
Well, there's an order of magnitude or two children going to regular schools... One needs a bit more statistics to back or disprove any argument.