I don't think that everyone, who has trust level 1 should be able to recategorize and rename topics.
The levels are there for a reason, also for learning purposes. If you are a new user, it can be overwhelming to have all the possibilities of Discourse thrown at you. So Discourse gives the rights to you one step at a time, telling you after some time on the forum, what else there is to discover and to do. (a very Fairphonish approach, I'd think).