To be clear, I wasn't defending peoples "rights" to harass others. I was talking about topic censorship. If you use the platform to harass people then yeah, you should probably be cordoned off at a minimum.
Law has been around for a very long time and harassment vs speed has been successfully understood and prosecuted for a very long time. If it's a passing comment on a social network then no matter how dispicable it is, it's just a comment. Ignore and block it, and move on with your life.
However SMS/email is not comparable to Twitter. One is push, ie you don't have to do anything to receive the unwanted messages. The other is pull, where you explicitly have to search the user's profile or follow them to see the unwanted tweets.
Twitter has offices in UK, Ireland, France, Italy, Spain, Germany and Belgium. They are very much under the reach of European legislation, such as GDPR. (Also responding to the GP.)
Harassing people through SMS is a criminal offence in the UK and a number of other countries.