That being said, Bujinkan is not a sport. The focus is not on competition but being the best that you can be, its not a competition.
The same can be said of all eastern TMA. But considering the fact that UFC and Bellator do not require sanctioning from TMA organizations, Bujinkan practitioners are as free to compete as are practitioners of other martial arts. The fact that it's not happening should raise questions.
Not sure what your point is but not competing in the UFC or Bellator doesn’t make the art invalid. Is that really what you are suggesting?
Yes. Remember: perception is reality. It could literally be the most effective martial art in the world, but if people don't see it being put to the test, then the perception is going to be that it can't hang with the other arts that are represented in the UFC and Bellator.