That is not a very compelling argument. Alan Scott is the original Green Lantern, but Hal Jordan has objectively saved the world and the universe far more times than Alan has.
Anyways, Miles is still figuring out his powers, responsibilities and his life. His origin has in a way dragged on far longer than Peter's did. Miles has a whopping two rogues (I don't count Ringer or Mysterio as these are already Peter's rogues). However, Mile's does have a greater initial heroic moment by jumpimg into a burning building and rescuing a woman and a toddler. He has a promising start, but it is still too early to tell.