I'm guessing this is trolling, but if you disabled NAT (Network Address Translation), then you wouldn't be able to access the internet through the router. NAT is what converts from a private address to a public address. You would have to plug directly into the modem.
Did you maybe confuse NAT with Universal Plug and Play (UPNP)?
You'd still be able to get online if NAT was enabled on the modem, if that idea feature provided by the ISP. I was simply stating the majority of the time it's because NAT is enabled on more than one device. I probably could have phrased it better., though.