Does the Wave of Expansion Theory spell the end for dark energy?

The controversial 'wave of expansion' theory, gets rid of dark energy, but violates the Copernican Principle in the process. 

Multiple journals reported on this new theory this week, with Seed providing a useful synopsis of the debates:

The crux of the debate is that mathematicians Blake Temple and Joel Smoller have found a theoretical way to explain the observations that led researchers to propose the concept of dark energy. If their solution, published in the Proceedings of the National Academy of Science, fits the data, it could provide a way out of the unpalatable notion of a dark-energy-dominated universe.

However, the the largest objection voiced is that this model would require Earth to be at the center of the universe. In other words, it would violate the Copernican principle, which states that the Earth does not have a special, favored place and that the universe is essentially homogeneous.  Lawrence Krauss leads the critics, saying: “I think that these mathematicians might have chosen the beautiful over the true.” 

Source: http://is.gd/4dIJw