I have many friends who have homeschooled. If I gave you the scorecard, it’s about 60/40 in favor of the kids remaining in Christ. I think people underestimate the Enemy. Kids can be homeschooled and go off to university and get infected with the lies. One of my friends is suffering terribly because two of her children have gone “woke,” to put it in the vernacular. As for Christ, well, it’s the social justice and emergent church stuff. In other words: apostate.
I believe the strength of a Child’s faith as they grow up, depends upon the strictness of the parents adherence is to the Scripttures.
If they are getting sloppy agape, then their hearts will be led away easily once they get to College.