Imagine a government agency ordered Apple to include hashes of all documents they wanted to track into that kiddie porn database. Suddenly the government knows who's got that antivax meme JPG. Or tax protest DOC. Or an environmental report PDF.
And it's just hashes! Apple won't know what they're tracking, so they can't say "no".
Now tell me you honestly believe no government *ever* will take advantage of this invisible monitoring power.