Both Wake on Lan and turning on after a power loss can be enabled on the Intel Mac Mini with the use of the setpci command. I stuffed this into my /etc/rc.local (to run them at boot time. yes, they need to be run on each boot)
# reboot on power loss setpci -s 0:1f.0 0xa4.b=0 # wake on lan setpci -d 8086:27b9 0xa4.b=0 ethtool -s eth1 wol g
Don’t ask me what they mean. I have no idea.
Note: this requires ethtool to be installed
EDIT: For some newer mac mini’s, here are two other setpci commands for the WOL part, if the one above doesn’t work:
setpci -s 00:03.0 0xa4.b=0 setpci -s 00:03.0 0x7b.b=19
Try one at a time, see which works.