Thanks, Sean, that was helpful. As that comparison article points out: Gunicorn sits at one side of the spectrum and Granian sits at the other side being less memory intensive and much faster at the same time. With these things in mind it seems worth trying out. And taking into account what you mentioned, I suppose it's wise to have a fallback (good old Gunicorn) prepared in case it's required.
On a side-note: I haven't been bothering with async programming, since I know Gunicorn doesn't support it. By replacing it with a compatible app server, I could start using more modern techniques as well. Django's compatibility has improved greatly recently, as well.
Oh, and additionally, the thing that started this topic: Granian supports static files, whereas Gunicorn does not! 🙂