Yes, they do, and GrapheneOS is heavily focused on both. The purpose of the project and what it provides is being heavily misrepresented by the comment above.

GrapheneOS treats bypasses of privacy features as security vulnerabilities. It offers substantial privacy advantages of CalyxOS and doesn't come with the privacy drawbacks it introduces. See https://news.ycombinator.com/item?id=28095033 (above) for a more in-depth explanation.