"So Eton appears to have asked young boys how to justify police brutality against the general public…"
This is for an entrance exam, Eton expects people to already be able to justify it before they even get to Eton.
The reason it's controversial to some of us is that currently schools seem to be moving more and more toward selecting for obedience. This creates a feedback loop where the system selects for those that will not want to change it, but instead will play along.
It seems that when a system declares a purpose for an exam and then doesn't comply with that purpose, reasonable people would question it.
It also seems the feedback loops can be so intense the system selects those so willing and desirous to submit to authorities that they categorize anyone even questioning the system as 'ignorant' without any irony.
Unfortunately Chomsky is mostly ignored by people who would need to understand his point the most: https://www.youtube.com/watch?v=pn2JZaUrMGM
If the student does support the action, accurately anticipating the objections of the other side and explaining why the action is justified in a way meant to mollify them is also useful.
Bottom line, being able to (or attempting to) write a PR document at that level requires a lot of understanding and thinking, and being willing to forego your initial prejudices to explore an idea as fully as possible. That's exactly what a good student does, so I can see why they thought this might be a useful exercise. I don't think a writing exercise causes "obedience" in any way.
Truthfully, I'm much more worried about what I see as the common trend of only viewing and reacting to the surface level of any event or topic, and immediately seeking others lend support and credence to that interpretation rather than trying to understand the motivations and purpose. That's always happened, but it seems to have become much more common.
That the position the student is asked to assume is a bit uncomfortable is very likely part of the point. Seeing what they make of it—the tone, the message, what they choose to add or leave out, how and whether they fill in the gaps in the prompt WRT the events, circumstances, the state of mind of the prime minister, the mood of the people, and so on, which are numerous, how and whether they balance all this with the particular limitations and goals of the message itself, or hell, whether they reject the prompt and walk out in a huff (bad) or do something else by ignoring all or part of the prompt and its explicit and implied constraints (potentially very good if done just right)—can all be useful, and in ways "craft a message about how awful this was and why it should never happen again" wouldn't be.
As info explodes and people learn there are other structures besides Hierarchies that can produce outcomes (such as Networks) the Hierarchies start teetering. And training for obedience becomes less important.