I think you're missing my point. If you configure your PC to receive DNS server addresses automatically, then your router is likely *NOT* relaying or forwarding DNS requests to your provider. Your router will usually assign your PC's the IP addresses of your providers DNS servers, and your PC's will communicate directly to your providers DNS servers, not your router.

Please understand that a routers ability to assign DNS server addresses to PC's Vs. its ability to forward/relay DNS queries are two *completely* different things that impact your IP configuration much differently.