How does that help? There are thousands of well-meant projects from overenthusiastic but inexperienced developers. The "interesting project!" graveyard is overflowing. Nobody knows this project or cares apart from some enthusiasts, and that won't change. Never even mind the discussion about the purpose of the blockchain here. Even if there was a purpose, I'd say tweets are the last thing that needs to be archived all over the place.

The unique service of Twitter is that it is famous, not that it is able to distribute tiny snippets of text. Just like Medium. By using the brand name service you get an increased chance to actually be noticed and read in exchange.