I've enable DMZ in my router on one of the systems with reserved dhcp address in the LAN.
From DMZ host I'm unable to ping or http or ssh to itself using own public IP. However I can connect to the public IP from other systems on the LAN or external network.
The same issue occurs if I use port forwarding instead of DMZ. I forwarded 22 port to the same machine and can't ssh public IP from it to itself.