The black gates have to be disrupted in order to access the phylactery vault.
The module is unclear whether it's only black gates in the temples of extraction sector, or across the doomvault.
In the Doomvault descriptions and lore, it indicates the Doomvault. In the Temples of Extraction sector description, it indicates the gates in the temples sector.
Since the number of black gates that need to be disrupted is 6 per group, and there are only 4 black gates in the Temples of Extraction, mathematically I'm reading that the black gates need to be disrupted in the Doomvault, not the Temples.
Does that sound right?