At the moment, HeadstartWP and WPGraphQL aren't on speaking terms. Although GraphQL is a fantastic tool for certain projects, it can sometimes add an extra layer of complexity that isn't really necessary for most headless sites. Plus, it can also extend the time it takes to develop your project. That being said, the folks at 10up haven't ruled out the possibility of integrating GraphQL in the future. But for now, their goal is to keep your stack simple, efficient, and effective.