The Founders did not speak against any training, either with respect to public or private schools. They also indicated that education was an issue for each individual state. To this day education is controlled by the states. The states establish curriculum and funding, as is their right.
The Founders did not imagine that parents would send their children to schools without monitoring content and participating in the administration. The sorry state of the schools is a result in our abdication of control, not in the public availability of schools.
I have been through this many times with many people of FR. I'm not doing it again.
Thank you for expressing your reading of history and original intent, and the self-disclosure that you've had this debate many times on FR.
We are clearly at an impasse. Enjoy 2023.