The idea wasn't to have them compete. The idea is to have "dissimilar redundancy", so that the US still would have a human-rated launch system with the ability to go to the ISS in case one of them gets grounded for whatever reason.
Haven't traveled to Denmark recently, but always use Bolt and/or Uber when traveling in Europe - can't recall a place where it wasn't available (Portugal, France, Latvia, Lithuania, Spain, Italy all had them from the top of my head).