Both ways. I hooked up the 2018 Mini straight to my Samsung HDTV via HDMI, no problems. Then I hooked up the Mini to my Dell monitor to the DVI port using the Apple supplied HDMI to DVI dongle that came with my 2012 Mini. Screen stays up with the Apple logo both ways until the password screen shows up.Is it hooked up to an HDMI port on the TV? The issue is when it's hooked up to a DVI port on the monitor
Now, the Mini shipped with 10.14.5 and I did not update it to 14.6 because I plan on installing Catalina as soon as it's released. Is this problem perhaps related to 10.14.6?