I have absolutely no doubt that you love your children. My father sent me to public school, and I know he loves me.
All I am saying is that I do not believe sending your children to a public school is an act of love. And, my father agrees. He is sorry that he ever sent me to one. And has said if he could do it over again, he never would have.
I am also sure that your children know you love them. But sending them to public school has nothing to do with that. That does not show them you love them. Other things you do show them you love them, but this does not.