Nothing. LMAO. The guy only has hype because of Luffy and being Garp's son. Even his position as the leader of the Revolutionary Army is being taken over by Sabo,"We could say that his influence surpasses even that of the leader of the Revolutionary Army."
The guy is useless.
They hate anyone with more plot relevancy than zoro lol, law is MUCH more important and has a pivotal role on the endgame.
Zoro on the other hand, gets his dream, ok, so what?? Whats the relevancy for the story if gets it or not???
The world before, during and after zoro achieving his dream is still the same, law on the other hand could pretty much be the determining factor to whether luffy wins or Lopes against imu by taking im's immortality.