No it does not. Don’t go off the deep end. Keep everything reasonable and in common sense.
We homeschooled, but for parents that send their’s to gubmit school and other than subjecting their kids to leftist dribble, minimal useful education and lowlife kid’s abuse, public school is not a freeby to most parents, they pay local school taxes through home ownership or rent.
Let's rephrase this:
“Obamacare is not a freebee to most citizens. They pay taxes for it. “
Perhaps you will see, now, how government schooling is, indeed, the very definition of a compulsory and single-payer socialist-entitlement. It is compulsory ( that means armed police and court enforcement) for all those whose parents can not ransom them by paying extra ( jizya) for private or home schooling.