Debian also supports “unattended-upgrades”: wiki.debian.org/PeriodicUpdates

I actually have it set up the same way on both: Automatically install updates (and restart some services), but don’t reboot. I don’t think it was different/easier on Ubuntu.

Overall, the two distros are very similar for a server application. If you’re already running Debian on your PC, I would also go with that for a server.