Yes, but none of that is anomalous. The primary novelty of the timescape model is just a more careful application of boring old General Relativity to cosmologic

Yes, but none of that is anomalous. The primary novelty of the timescape model is just a more careful application of boring old General Relativity to cosmological models, which are highly idealized in order to make them tractable. It is still very misleading to characterize effects like frame dragging or time dilation as unresolved mysteries. They are very straightforward, experimentally confirmed, elements of classical General Relativity.