Google broadly and secretly [1] defining hate speech, and removing based on that definition, is exactly the example you asked for: content removed for having the wrong politics. That they won't even tell you the exact politics, but leave you guessing, makes it worse, not better. What might be an entirely factual, dispassionate video, becomes in your mind a foaming-at-the-mouth murderous screed, because all you know about it is that Google (known for being straightforward and trustworthy) called it hate speech.
[1] We never get to find out what their interpretation of their stated rules is in practice, only who is guilty of breaking them, and only in the few cases that are high-profile enough for us to learn about.