Seems speculative. Haven't they measured the speed of EM, or possibly some other subatomic particle than the neutrino, with the very same equipment, and gotten the expected and scientifically agreed-upon speed as a result? It seems to me that testing the measuring/timing hardware with a known phenomenon would be a fundamental step before releasing and using it.
As I recall, the path taken by the neutrinos in this experiment is several hundred miles of solid rock, so, no, there really isn't any other type of particle that could be tested with it.
While that is technically true, the context of this comment should make it clear that I'm referring to cold dark matter, otherwise my comment about finding them wouldn't make sense.
But if this discovery is true then there is a lot we don't know about neutrinos. For all we know they could be dark matter, and there is no other particle.
For example if they are a type tachyon, then the closer to c they are the less energy they contain, this would actually make them very cold.
(Personally I doubt they do exceed c, but I do think that they are actually dark matter, only created via some process that keeps them slow.)