No I don't think it's like that. We know that matter and vacuum clump together at a series of increasing scales: the solar system, our galaxy, the local cluste

No I don't think it's like that. We know that matter and vacuum clump together at a series of increasing scales: the solar system, our galaxy, the local cluster, some surrounding supercluster, maybe there is a superdupercluster level after that, but the theory being disputed is that the hierarchical clustering stops after those N levels, and after that, the superduperclusters (or whatever) are distributed randomly instead of grouping into even more enormous structures. The idea is that the universe started as a random fluctuation and that the clusters etc. came from a diffusion process, like stripes on a zebra. The stripes are locally correlated, but less so over longer distances. Sabine H is saying that the clustering goes further than the theory can account for, and that the "local hole" is a feature of this bigger structure, not that it's something special. Anyway, even if our part of the universe is special, there can be an anthropic explanation, like saying we live on the special part of the Earth that has a habitable climate and is not covered with water.