Deis dev here. We've removed the Chef dependency as of v0.7.0 in favour of CoreOS and fleet for container/machine job scheduling. That ship set sail only recently in master. :)
We'll be updating the website in preparation for our next release. Most users are still on v0.7.0 or earlier. Once it's been released then our website should reflect the changes in master.
I haven't looked closely at Deis in several months, but Flynn doesn't use Chef (or anything similar) anywhere and don't plan to.