Xbox was added to BDS in April 2025. In April 2025, Blizzard was part of "Microsoft Gaming". Microsoft Gaming was renamed to "Xbox Division" in April 2026. The BDS list says last modified on September 2025. When Xbox was added to the BDS list, Blizzard was not considered to be part of Xbox.
https://variety.com/2026/digital/news/microsoft-gaming-changes-name-to-xbox-1236729080/
I was not aware of the rename. I'm not sure whether BDS Movement would consider Blizzard to be part of Xbox after the rename happened. I don't see any posts about World of Warcraft on the BDS Movement social media pages. To correct my previous comment, BDS did name Blizzard in the original Microsoft announcement, though Blizzard is not listed on the list image.
When I posted about Microsoft being added to the BDS list, it bothered me that people responded negatively and some said they wouldn't follow it. It makes me suspicious that people call for the boycott of WoW Forever for being BDS but I never saw anyone say boycott Call of Duty MW4 for being BDS and it had a much larger audience.
I think people should read the whole list and follow the BDS boycott list whenever possible.