I'm on an unrooted phone and F-Droid doesn't do auto-updates or even "update all". I have to remember to open F-Droid once in a while to click "Update" and then "Install" for each app, one-by-one.

I understand that it's probably Google's fault for not providing APIs/permissions but it's still terrible UX. I only use F-Droid when an app isn't available on the Play Store.