I think the conjecture is that the photons were emitted at the same time as the neutrinos but were slower to reach us.
If so, that's not saying so much that the 'speed of light' - as a constant - is not quite as big a number as was thought but saying that the speed of light (in a vacuum) is no longer the ultimate speed limit. I.e. - neutrinos move faster than the 'speed of light'.
Revising a measurement is one thing, but saying that that measurement no longer represents what you thought it did is quite another.
Is that the gist?