Why do you, so confidently, state that the reason is the school system/indoctrination? I've gone to school in these countries, and I've never heard a pro-monarchy argument in class.
That was part of the original point of the New Atheism movement: that politely keeping quiet about religious beliefs encouraged believers to think that their beliefs were universally held or at least respected, among other things. Changing that, pushing back against the status quo, made a big difference.
Who is maintaining this "status quo" according to you? The media? The monarchs?
> I've only heard about it being discussed in an objective manner.
I doubt that. What’s an example? Objectively, the existence of a monarchy is opposed to the ideals of an egalitarian society. Any discussion of a monarchy’s mere existence without covering such topics serves to reinforce the status quo - it normalizes its existence and lies by omission about its negative impacts.