The idea of a "hero party" that is sponsered by the government never sits well with me, even though it does makes sense given the world logic.
The main problem I see is that "heroes" are not those that want the spotlight but those that have teh capacity and will to act when necessary. In my view the "official hero party" should be nothing more than a military unity were the best of the best is positioned and have the ob of travalling around the country taking care of problems that are too great for the adventures to deal with, like the Demon King, and not something some randoms with unique skills but no avaliation of their character should be given,.