It looks like rumors about NVIDIA's GeForce Partner Program (GPP) were true. VideoCardz heard from a confidential source at ASUS that future AMD Radeon cards will be released under the new AREZ brand. These cards will not feature any ROG branding, and may even lose the ASUS branding altogether! Everything else stays the same.
AMD-based ASUS ROG STRIX video cards will be called AREZ Strix, ASUS Dual will become AREZ Dual, ASUS Expedition becomes AREZ Expedition and ASUS Phoenix will be called AREZ Phoenix, and so on.
The site also has some details about what's happening to AMD cards from other brands:
Other companies such as Gigabyte and MSI have already started removing “Gaming” Radeon products from their websites. Gigabyte’s AORUS series are so new that the company has not yet decided how to name Radeon cards in the future. Meanwhile, MSI ‘hid’ all Radeon Gaming series from their website.