Right, in principle, it's agreed that "education" is "good knowledge" and "indoctrination" is "bad knowledge" and/or "fake news".
As long as you think that the inoculations being administered in the school system are valid, you'll call it education. Once you stop thinking that, you'll call it indoctrination.
So you're not really arguing anything. Every side calls training that biases you toward their preferred narrative "education" and training that biases in the opposite way "indoctrination". Is your point that "sometimes people disagree"?
This tends to last until someone realizes that an educational system is a wonderful indoctrination tool to advance their goals. Often enough this is followed by enacting that.
This isn't new. "Give me the child for the first seven years and I will give you the man."
Education teaches critical thinking, science, history, numerical literacy, and the general skill and toolset to differentiate fact from falsehood, rhetoric, and manipulation-- regardless of where it is coming from.
Education is an immune system for the mind. Generally it is the manipulators who don't like an educated populace, because it decreases their power. They tend to be the ones labeling education as "indoctrination".