I’m directly responding to your point. Ideological education is brainwashing. In fact “brainwashing” is usually just another way of saying “an ideological education I disagree with”, also known as “indoctrination”.
Any conclusion that cannot be arrived at cannot be arrived at by a scientific process is inherently ideological. You’re saying flowers smell good. I say they smell bad. Neither of us is any more right than the other, since these are entirely subjective takes. The closest you could get is that flowers might smell good to x% of the population, which is what schools should teach. Not that they smell good or bad.
The distinction is small but important, since the latter conclusion doesn’t make any judgements about people with a legitimate minority opinion.
What about art,Mozart, the Dead shakespeare, south park and everything in-between? Those aren't science, but are some of the most vital components of education.
Education describing what cultural artifacts exist and how to produce them isn’t ideology. These are objective areas of study. Though lots of cultural education is ethnocentric, where minority cultures are less represented, making the education less well rounded.
Education is not about what cultural artifacts exist, but why and how. Music appreciation and art appreciation, music history and art history are a small part of a music or art Education for someone who is hoping to practice it.
I am saying if you can convince enough other people that this makes sense you can effect change. And im wishing you good luck with that.