I wouldn't consider Doodles or Puggles a random hybrid if people or crossing them intentionally that would make them on their way to becoming a purebred (like the Jack Russel). No fresh genes. I am not trying to lump together all purebred. Some are ...
Sorry I have not checked back sooner to this topic. I do not breed dogs, I adopted mine. I only called him a Pugabull in response to getting stopped EVERYDAY to ask what he is. I think breeding them is appalling. JUST AS appalling as bashing mutt...