Recent observations of the stellar halo have uncovered the debris of anancient merger, Gaia-Sausage-Enceladus, estimated to have occurred ~8 Gyr ago.Follow-up studies have associated GSE with a large-scale tilt in the stellarhalo that links two well-known stellar over-densities in diagonally opposingoctants of the Galaxy (the Hercules-Aquila Cloud and Virgo Overdensity; HAC andVOD). In this paper, we study the plausibility of such unmixed merger debrispersisting over several Gyr in the Galactic halo. We employ the simulatedstellar halo from Naidu et al. (2021), which reproduces several key propertiesof the merger remnant, including the large-scale tilt. By integrating theorbits of these simulated stellar halo particles, we show that adoption of aspherical halo potential results in rapid phase mixing of the asymmetry.However, adopting a tilted halo potential preserves the initial asymmetry inthe stellar halo for many Gyr. The asymmetry is preserved even when a realisticgrowing disk is added to the potential. These results suggest that HAC and VODare long-lived structures that are associated with GSE and that the dark matterhalo of the Galaxy is tilted with respect to the disk and aligned in thedirection of HAC-VOD. Such halo-disk misalignment is common in moderncosmological simulations. Lastly, we study the relationship between the localand global stellar halo in light of a tilted global halo comprised of highlyradial orbits. We find that the local halo offers a dynamically biased view ofthe global halo due to its displacement from the Galactic Center.