Mac Mini always on and possible server

From November 2018

Mac mini as server - Software - MPU Talk

So the MacOS Server.app is basically being deprecated by Apple and the most useful parts of it removed - it’s basically becoming just a front-end for device management.
It still runs as an app so as far as I can tell, you have the same issue - you’ll need to VNC in and log in.
Sorry not to have better news!