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Yes, that's precisely why I used the example. If you see that claim repeated over and over in different sources, and especially if it's implied rather than the main story, then the effect you describe can be surely real.
We have seen the changing attitudes towards USSR over the last decade or so as result of propaganda and the "пломбир" belief is a textbook example.
What I say is that you actually can develop skills to read such news in a way that will prevent it from happening.