You've been consistently wrong, yes. A NAT router box will NOT translate a packet coming from the Internet (so, a packet with a globally routable IPv4 address) arriving on its WAN to the RFC1918 IPv4 address of any box sitting behind it on the LAN side, unless it is arriving on a previously open connection, or on a port the user explicitly asked to be allowed and forwarded - exactly the same behavior of a regular stateful firewall.