Does this mean it's at least possible that space and time aren't linked in the way we think? That General Relativity only makes it appear so?
No the finding is that they tested GR near a boundary, where you might expect find issues, and found that it held up. The title and the comment Ghez makes about the interior of a black hole are a bit misleading. As far as interiors of black holes, I can only guess that she's pointing out (a) that we can't directly observe anything past the event horizon and (b) GR doesn't really make claims about what's going on in t…
I find it a bit tricky to say if you wouldn't encounter all the stuff that fell in before you though. I've always had trouble reconciling the fact that you won't see stuff enter the event horizon until you're close to it and the fact that black holes can spring into existence. I'm still not all that sure a true black hole isn't merely an approximation that breaks down as you get close.