[ubercow13]

Wouldn't the router only have a route for 192.168.0.x or whatever to go to the private interface? Why would a packet still addressed to the public IP get routed to the private network interface?

>NAT has nothing to do with whether inbound connections are possible

So how would you address a device on the private network from outside?

edit: I read your other response. Fair enough, if your ISP is sending you privately addressed packets they could get through.