I think it is highly unlikely this building having a concrete core, as such.
Though, it is possible that the fire stairs and some elevators will be encased in concrete walls, poured over the steel structure as a protections, if done that way, together with some steel bracing, those concrete walls could also serve to help resist horizontal forces, but I don't think it will have an entire concrete core. So far I haven't seen anything indicating that, nor in the construction pics, nor in any plan or document.
As for the speed of construction, many people seems to believe it will rise fast just because it is steel, I don't think so. 10HY didn't rise relatively slow because it has a concrete structure, but because it has a complex structure, spaning over the High Line, with leaning columns, each plate different to each other, etc. 30 Park Place, with a structure entirely made of concrete rose very fast, because the building is much simplier.
I don't think this building will rise quickly because it is very comples, more than 10HY, and mostly the lower floors.
Her it is a diagram with the structure of the tower, I don't see anything indicating a concrete core.