The badges are not per site. They are all the same on every site, and thus, newer sites will actually have this badge with members who have it. 

Despite that, about 2 years ago it was [removed from Meta.StackOverflow.][1] We really should be getting it removed on all meta sites, and trilogy sites. 


  [1]: http://meta.stackoverflow.com/questions/10931/wrong-text-for-beta-badge-on-meta/11027#11027