I agree with this idea and line of thinking, and it's well-intentioned but it comes with its own costs. There's a risk that over time, people might start to feel like they're being gaslit by a media conspiracy, and this feeling may build up until eventually society snaps into an extreme backlash, which may be worse than the original prejudice.

Present events feel like one example of this.

I think a similar thing happened with COVID; early on the media and government went hard on filtering information, in order to suppress anti-asian discrimination (as a sibling commenter mentions) or to prevent shortages of masks, but it ended up like squeezing a water balloon. Trying to control public opinion this way might have had short-term success but caused all sorts of radical conspiracy outbursts and a loss of trust in institutions.

So as a long term strategy, it might just not work that well.