C now simply refers to the speed of a neutrino squared.
Whatever turns out to be the next iteration of the theory, it probably wouldn't be that. That light travels at the measured C is fairly well established, and relativistic theories that use scaling to the speed of light (and not neutrinos if they are indeed faster) have a lot of validation evidence without needing this sort of correction.
That being said I guess it's possible that there's a theory that for some reason lets neutrinos go faster than light without violating relativity.
Who knows? Neutrinos are pretty pesky, but then so was Einstein. Sometimes even when his logic was clearly wrong (cosmological constant) it still seems, 50 or 75 years later, that he may have been unintentionally right.