As an anecdote I have close family member that teaches younger elementary school grades. They have told me about signs of possible abuse they've seen but no available recourse.
I'm also aware that school is a also an environment where abuse occurs. How can we say that we are not exposing public school children to more abuse per capita than homeschooled? There is a school in my neighbourhood that often has the police called in. Lockdowns over students bringing in knives and attacking each other.
It would be good to know these things if making an argument that pivots on abuse.
One last anecdote. All the experiences I can remember having that I'd consider abuse occurred in either: school, work or public transit. Some were bad interactions with strangers in passing, other were more chronic (generally at school).
While it is true terrible things can happen to kids at home, you need stats to compare this with the alternative before a stance should be taken.