No, Twitter is within its right to remove stuff that goes against its policy. e.g. no one in their right mind would argue to keep a tweet up if it was a picture of child pornography.
Sure, but the point is that Twitter would be justified in proactively removing said content before a legal order to that effect got served.
More broadly, Twitter is not obligated to keep tweets up from anyone to anyone. It would be rather silly if, for example, all tweets from north america got deleted and people got up in arms accusing it of "censorship" (in a hypothetical scenario where unbeknownst to them, there was a catastrophic infrastructure failure).
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