The space itself has no mass, so it's not subject to the "limit."
You sure that's a "valid" reason?
Photons don't have any mass, doo they? And they still obey the limit.
Plus - and admittedly I'm sketchy on this - when they talk about "space" expanding, it seems like what they really mean is "the extent of matter" expanding. Otherwise, like someone else here asked, "expanding into what?".
Then how do you account for the "a universe that began as a remarkably smooth, superhot soup".
Soup has mass - and mass is supposed to be subject to the speed limit.