No, I don't think so. I connect "woke" to activists that don't give anything about privacy. On the contrary, I think of self-righteous groups that try to get peoples private information and try to ruin their lives over the internet. In my opinion, this cannot be allowed wherever information technology is involved, especially anything concerning user information. It is one of the reasons I would never want these companies to know anything about me. They just cannot be trusted with information, even if you align with the values allegedly proposed.

That said, at least Mozillas "wokeness" is limited to a degree that is livable.