I believe that the major implication of Einstein’s equation is that mass increases as speed increases, and therefore a particle with positive mass can not achieve the speed of light by increasing its energy. However, I also believe that if we take those same equations, and solve them for particles which have super-luminal velocity, they dictate such a particle has negative mass. If so, given the result of this experiment, and the enormous number of neutrinos in the universe, it seems clear that it is time to take a concept of negative mass seriously, and to revisit all cosmology assumptions and recompute predictions. It is possible that many of the problems of cosmology that require invisible dark energy and dark matter would be alleviated.
If I remember right, the equation allows super-luminal travel up to 3x the speed of light, then, your run into the same asymptote as at 1x.
The trick to hyperlight travel would be to jump over the asymptotes. The idea of warping space is that you shield the craft from these asymptotes so you don’t ever reach the point of infinite mass/infinite energy.
All we need is for someone to discover the way to breach the gap.